# Test: Factorisation II - Normal

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Question 1:   Factorise: $3m{n}^{2}+6{m}^{2}n$
$3mn\left(n+2m\right)$
$2mn\left(m+3n\right)$
$3{m}^{2}n\left(2m+1\right)$
$9{m}^{3}{n}^{3}$
Question 2:   Factorise: $3{m}^{3}{n}^{2}-6{m}^{2}n+9mn$
$3{m}^{2}{n}^{2}\left(m-2n+3\right)$
$3mn\left({m}^{2}n-2m+3\right)$
$6{m}^{2}{n}^{2}$
${m}^{2}n\left(3mn-6m+9\right)$
Question 3:   Factorise: $ab+b+a+1$
$\left(a-1\right)\left(b+1\right)$
$b\left(a+1\right)+a+1$
Cannot be factored
$\left(a+1\right)\left(b+1\right)$
Question 4:   Factorise: ${x}^{2}-1$
$\left(x+1\right)\left(x+1\right)$
$\left(x-1\right)\left(x+1\right)$
$x\left(x-1\right)$
$\left(x-1\right)\left(x-1\right)$
Question 5:   Factorise: ${m}^{2}-{n}^{2}$
$\left(m+n\right)\left(m-n\right)$
$\left(m+1\right)\left(n-1\right)$
$\left(m+n\right)\left(n-m\right)$
$\left(m+1\right)\left(n+1\right)$
Question 6:   Factorise: ${x}^{2}-25$
$\left(x-25\right)\left(x+25\right)$
$\left(x-5\right)\left(x+5\right)$
$\left(x+5\right)\left(x+5\right)$
$\left(x-1\right)\left(x+25\right)$
Question 7:   Factorise: ${y}^{4}-625$
$\left({y}^{2}-25\right)\left({y}^{2}+25\right)$
$\left({y}^{2}-625\right)\left({y}^{2}+1\right)$
$y\left({y}^{3}-625\right)$
$\left(y-5\right)\left(y+5\right)\left({y}^{2}+25\right)$
Question 8:   Factorise: ${x}^{2}+2x+1$
$\left(x+1\right)\left(x+1\right)$
$\left(x-1\right)\left(x-2\right)$
$\left(x+1\right)\left(x+2\right)$
$x\left(x+3\right)$
Question 9:   Factorise: ${x}^{2}+x-2$
$\left(x-2\right)\left(x+3\right)$
$\left(x-1\right)\left(x+2\right)$
$\left(x+1\right)\left(x-2\right)$
$\left(x-1\right)\left(x-2\right)$
Question 10:   Factorise: ${x}^{2}-7x+12$
$\left(x-2\right)\left(x+6\right)$
$\left(x-3\right)\left(x-4\right)$
$\left(x-2\right)\left(x-6\right)$
$\left(x-3\right)\left(x+4\right)$