# Test: Algebraic expressions I - Normal

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Question 1:   Expand and simplify: $\left(x-2\right)\left(x+3\right)=...$
${x}^{2}+2x-6$
${x}^{2}+x-6$
${x}^{2}+x+6$
${x}^{2}+5x-6$
Question 2:   Expand and simplify: $\left(x-1\right)\left(x-1\right)=...$
${x}^{2}-2x+1$
${x}^{2}-4x+1$
${x}^{2}-x+1$
${x}^{2}-1$
Question 3:   Simplify $\frac{3{x}^{2}{x}^{5}}{\left(y-1\right){x}^{3}}=...$
$\frac{3{x}^{4}}{\left(y-1\right){x}^{3}}$
$\frac{3{x}^{7}}{y-1}$
$\frac{3{x}^{7}}{\left(y-1\right){x}^{3}}$
$\frac{3{x}^{4}}{y-1}$
Question 4:   Simplify: ${\left(12{x}^{5}{y}^{3}\right)}^{0}=...$  for $\text{\hspace{0.17em}}x\ne 0\text{\hspace{0.17em}}$ and $\text{\hspace{0.17em}}y\ne 0\text{\hspace{0.17em}}$.
$144{x}^{10}{y}^{6}$
$0$
$1$
$12{x}^{5}{y}^{3}$
Question 5:   Simplify: ${\left(\frac{2{x}^{3}{y}^{2}}{{x}^{2}}\right)}^{2}=...$
$4{x}^{2}{y}^{4}$
$4{x}^{8}{y}^{4}$
$4{x}^{6}{y}^{4}$
$2{x}^{4}{y}^{6}$
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