# Recent questions tagged simplify

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Simplify $$(\sqrt{5}+4)^2-\sqrt{45}$$ without using calculator
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Simplify $$\frac{3^x \times 3^{x-2}}{9^{x-3}}$$
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Simplify the following expression $$\sqrt{125}+3 \sqrt{2}-\frac{16}{\sqrt{32}}-\sqrt{20}$$
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Simplify the following expressions: $$6 p-4+2(2 p+3)$$
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Simplify: $$3 x^{2}+2 x-5-\left(x^{2}-4 x+1\right)$$
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Simplify $$\sqrt[15]{243}$$
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Simplify $$(x+5)(x+2)$$
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Simplify the complex expression$(2-3 i)(-2+i)$
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Simplify the complex number $$5(3-2 i)+2 i(4+6 i)$$
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SImplify $$(3 x) /\left(x^2+3\right)-(2 x) /\left(x^2+1\right)$$
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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) $$x^2-11 x+18$$
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Given the function $$h(p)=p^2+2 p$$, solve for $$h(p)=3$$.
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Solve the equation.$\log _3(2 x-3)=\log _3(x+5)$
208
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Simplify $$\frac{3^{2 x} \cdot 27^{x-1}}{9^{2 x+2}}$$
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Simplify $$2^x \cdot 8^{x+1}$$
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Simplify $$a^{2 x} \cdot a^{3 x+1}$$
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Rewrite $$5^3=125$$ as a logarithmic equation.
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Rewrite $$\log _3 9=2$$ as an exponential equation.
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Simplify $$8 r^2+5 r^2=$$
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Calculate $$\frac{2}{x}+\frac{3}{x}$$ and simplify the answer if necessary
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Simplify the algebraic expression $$2x+3y-4x-4xy-5x+4x^2-xy^2$$
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a. Simplify $$\dfrac{3^{x+1}-3^x}{3^x}$$b. Hence or otherwise simplify $$\dfrac{3^{x+1}-3^x}{m \cdot 3^x+2^2 3^x}-\dfrac{3 m-12}{m^2-16}$$
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Simplify by rationalising the denominator (show all working without using a calculator)$$\dfrac{3}{\sqrt{7}-\sqrt{5}}$$
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Without using a calculator, simplify: $$\dfrac{(2 a)^{-2} \times 3 a^{-5}}{\left(a^3 b^{\frac{1}{2}}\right)^2 \times(a b)^0}$$
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Without using a calculator $$\dfrac{6^{2 m} \times 4^{-m}}{\left(3^m\right)^2}$$
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Simplify without using a calculator $$\dfrac{\sqrt{9^{x+2}}-\sqrt{9^{x-2}}}{3^{x-3}}$$
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Solve for $$x$$ $4 x^2-4 x-1=0$ (leave your answers in simplest surd form)
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How do you simplify an expression with exponents?
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Given:(i) $$\mathrm{A}=60^{\circ}$$ and $$\mathrm{B}=30^{\circ}$$(ii) $$\mathrm{A}=110^{\circ}$$ and $$\mathrm{B}=50^{\circ}$$(iii) $$\mathrm{A}=225^{\circ}$$ and $$\math... 230 views 0 answers Simplify the following trigonometric expressions:(a) \(\sin 210^{\circ}-\tan 120^{\circ} \cdot \cos 330^{\circ}$$(b) $$\dfrac{\cos 410^{\circ}}{\sin 40^{\circ}}$$(c) $$\t... 255 views 0 answers Simplify the following:(a) \(\dfrac{\cos \left(180^{\circ}-\theta\right) \cdot \cos \left(90^{\circ}-\theta\right)}{\sin \left(90^{\circ}+\theta\right) \cdot \sin \left(-... 226 views 1 answers Solve \(3 \log x=\log 27$$
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Simplify $$\frac{\log 16}{\log 4}$$
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SImplify $$\dfrac{\left(\log _2 8\right)^2}{\log _2 8^2}$$
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simplify $$\log _3 \sqrt{27}$$
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Simplify $$\log _3 \frac{1}{27}$$
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simplify $$-\log 4-\log 25$$
337
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Simplify using laws of logs $$\log _3 27-\log _3 3$$
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Simplify $$\log _9 27+\log _9 3$$
235
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Solve for $$n$$ in $$\frac{1}{128}=2\left(-\frac{1}{2}\right)^n$$
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Solve for $$n$$ in the equation $$\dfrac{1}{81}=\left(-\dfrac{1}{3}\right)^n$$
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Solve for $$n: \dfrac{1}{81}=\left(\dfrac{1}{3}\right)^n$$
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Simplify the expression: $$2x + 3x$$
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Use the properties of logarithms to simplify the expression log base 5 of 25 + log base 5 of 125.
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Simplify the expression log base 10 of 100.
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Simplify the expression log base 2 of 32.
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Simplify the expression $$5x + 3y - 2x + 4y.$$
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Factorise fully:$$1. \quad 10 t^2-5 t$$$$2. \quad 81-100 a^2$$ $$3. \quad x^2+5 x+6$$
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Calculate $$8\left(\frac{1}{8}-\sqrt{\frac{1}{16}}\right)$$
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Calculate $$\sqrt{\frac{9}{16}} \div \sqrt{\frac{1}{4}}$$.