# Recent questions tagged expression

63
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Solve: $$\sqrt{\ln x}=\ln (\sqrt{x})$$.
65
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Solve $$\ln _{2}(x+1)-\ln _{2}(x-1)=\ln _{2} 8$$
66
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Solve $$\ln _{3} x=5$$
155
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Simplify: $$3 x^{2}+2 x-5-\left(x^{2}-4 x+1\right)$$
117
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Factorize: $$x^{2}-4$$
164
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What is arithmetic geometry?
171
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What is algebraic geometry?
135
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Write two ways of each algebraic expression in words.(a) m + 7(b) z - 11(c) 5 × a(d) b ÷ 9
164
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Solve for $$x$$ in each of the following:1. $$x^{2}+x-12=0$$2. $$\sqrt{2 x+1}=x-1$$3. $$2^{x \sqrt{x}}=2^{27}$$4. $$x^{2}-2 x-8<0$$
188
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Simplify to a single trigonometric ratio:1.$\frac{\sin 550^{\circ}}{\cos \left(-170^{\circ}\right)}$2. $$\sqrt{1+\cos \left(90^{\circ}+\theta\right) \sin \left(180^{\c... 139 views 1 answers Simplify \(\sqrt[15]{243}$$
123
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Simplify $$\frac{11+x}{x^{3}}+2 x(5-x)$$
363
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Simplify $$(x+5)(x+2)$$
139
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Simplify the complex expression$(2-3 i)(-2+i)$
128
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Simplify the complex number $$5(3-2 i)+2 i(4+6 i)$$
125
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SImplify $$(3 x) /\left(x^2+3\right)-(2 x) /\left(x^2+1\right)$$
143
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Simplify the expression $$\frac{11+x}{x^{3}}+2 x(5-x)$$
413
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How can I factorise quadratic algebraic expressions?
184
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Solve each of the followinga) $$x(2 x-6)=0$$b) $$m^2+3 m=4$$c) $$x^2-49=0$$d) $$x+2-x-3=0$$
590
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Factorise fullya) $$6 x y-2 x$$b) $$x^2(y+3)-(y+3)$$c) $$4 x^2-y^2$$d) $$x^2-11 x+18$$
221
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Solve the equation.$\log _3(2 x-3)=\log _3(x+5)$
226
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Simplify $$2^x \cdot 8^{x+1}$$
234
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Simplify $$a^{2 x} \cdot a^{3 x+1}$$
450
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How do I find 6 choose 2? use latex and show working
390
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How much is 20% in fractions? Show all working
308
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What is the difference between an equation and an expression in math?
367
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Convert $$\sqrt{49}=7$$ into a logarithmic equation.
226
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Convert $$10^{-3}=\frac{1}{1,000}$$ into a logarithmic equation.
213
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Rewrite $$5^3=125$$ as a logarithmic equation.
383
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Convert $$\log _3\left(\frac{1}{81}\right)=-4$$ into an exponential equation.
231
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Convert $$\log _4\left(\frac{1}{16}\right)=-2$$ into an exponential equation.
550
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Rewrite $$\log _3 9=2$$ as an exponential equation.
273
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Make $$x$$ subject of formula: $$V_2=V_1\left(1-\left(\frac{x}{100}\right)^2\right)$$
623
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How do I factorise an algebraic expression by grouping in pairs?
344
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Factorize the algebraic expression $$x^2+4 x-5$$
239
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Simplify $$8 r^2+5 r^2=$$
406
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What are the terms in an algebraic expression made up of?
253
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What are the factors of the algebraic expression 11yz?
267
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What are the terms of the algebraic expression $$7x – 9$$?
634
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What are the terms, variables, and constants of the algebraic expression: $$9x – 7y + 5$$ ?
250
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Simplify the algebraic expression $$2x+3y-4x-4xy-5x+4x^2-xy^2$$
251
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Simplify the propositional form $$\neg(P \vee Q) \vee(\neg P \wedge Q)$$.
642
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Construct the truth table of the propositional form $$[(P \Leftrightarrow Q) \wedge Q] \Rightarrow P$$
312
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Simplify the following propositional form: $$\neg(\neg P \Rightarrow \neg Q)$$
218
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a. Simplify $$\dfrac{3^{x+1}-3^x}{3^x}$$b. Hence or otherwise simplify $$\dfrac{3^{x+1}-3^x}{m \cdot 3^x+2^2 3^x}-\dfrac{3 m-12}{m^2-16}$$
577
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Simplify by rationalising the denominator (show all working without using a calculator)$$\dfrac{3}{\sqrt{7}-\sqrt{5}}$$
Without using a calculator, simplify: $$\dfrac{(2 a)^{-2} \times 3 a^{-5}}{\left(a^3 b^{\frac{1}{2}}\right)^2 \times(a b)^0}$$
Without using a calculator $$\dfrac{6^{2 m} \times 4^{-m}}{\left(3^m\right)^2}$$
Simplify the following without a calculator:a) $$\sqrt{9 x^4+16 x^4}$$b) $$\left(\frac{b^{-\frac{1}{3}}}{\sqrt[3]{b^2}}\right)^{-2}$$c) $$\frac{9^{n-1} \cdot 27^{3-2 n}}{... 279 views 1 answers Solve for \(x$$ in each of the following. Show all relevant working detail.a) $$x^2-1=x$$ (Round off to two decimal places)b) $$2 x^2-x-6>0$$