# Test: Algebraic expressions II - Normal

Double click on maths expressions to zoom
Question 1:   Factorise: ${x}^{2}-6x+9=...$
$\left(x-3\right)\left(x+3\right)$
${\left(x-2\right)}^{2}$
${\left(x-3\right)}^{3}$
${\left(x-3\right)}^{2}$
Question 2:   Expand: $x\left(x-1\right)=...$
${x}^{2}-1$
$x-1$
${x}^{2}+x$
${x}^{2}-x$
Question 3:   Expand: ${\left(x-3\right)}^{3}=...$
${x}^{3}-9{x}^{2}-27x-27$
${x}^{3}-9{x}^{2}+27x-81$
${x}^{3}-9{x}^{2}+27x-27$
${x}^{3}-9{x}^{2}+27x+27$
Question 4:   Simplify: $\frac{20{x}^{2}}{4{x}^{3}}=...$
$\frac{5}{x}$
$\frac{5}{{x}^{2}}$
$5x$
$\frac{5x}{{x}^{2}}$
Question 5:   Simplify: ${\left(\frac{10{x}^{5}}{2{x}^{2}}\right)}^{4}=...$
$\frac{625}{{x}^{12}}$
$225{x}^{12}$
$625{x}^{12}$
$625{x}^{7}$
Question 6:   Simplify: ${\left({x}^{3}\right)}^{\frac{2}{3}}=...$
$x$
$1$
${x}^{2}$
${x}^{\frac{1}{3}}$
Question 7:   Simplify: $\left(x-8\right){\left(x-8\right)}^{-\frac{1}{2}}=...$
${\left(x-8\right)}^{-\frac{1}{2}}$
${\left(x-8\right)}^{\frac{1}{2}}$
$1$
${\left(x-8\right)}^{2}$
Question 8:   Factorise: $\frac{{x}^{3}-1}{x-1}=...$
${x}^{2}-1$
${x}^{2}+x+1$
${x}^{2}+x-1$
${x}^{2}-x+1$
Question 9:   Simplify:$5{x}^{7}y÷20x{y}^{5}=...$
$\frac{{x}^{6}}{4{y}^{4}}$
$\frac{{x}^{3}}{4{y}^{4}}$
$\frac{5{x}^{6}}{20{y}^{4}}$
$\frac{{x}^{6}}{4{y}^{3}}$
Question 10:   Simplify: $\frac{{x}^{2}-4x+4}{{x}^{2}-x-2}=...$
$\frac{1}{x+1}$
$\frac{x-2}{x+1}$
${\left(x-2\right)}^{2}$
$x+2$