# Test: Factorisation II - Challenging

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Question 1:   Factorise: $3pr-2rq+3sp-2qs$
$\left(3p-2q\right)\left(r+s\right)$
$\left(3p+2q\right)\left(r-s\right)$
$\left(3r-2s\right)\left(q+p\right)$
$\left(3p+2q\right)\left(q-p\right)$
Question 2:   Factorise: $2qr+3pr-8qs-12ps$
$\left(3p+4s\right)\left(r+q\right)$
$\left(3p+2q\right)\left(r+4s\right)$
$\left(3p+2q\right)\left(r-4s\right)$
$\left(3p+4s\right)\left(r-q\right)$
Question 3:   Factorise: $4{y}^{2}-16$
$\left(y-4\right)\left(y+4\right)$
$2\left({y}^{2}-4\right)\left({y}^{2}+4\right)$
$\left(2y-4\right)\left(y+4\right)$
$4\left(y-2\right)\left(y+2\right)$
Question 4:   Factorise: $16{x}^{2}-256$
$16\left(x-4\right)\left(x+4\right)$
$\left(x-16\right)\left(x+16\right)$
$4\left(x-16\right)\left(x+16\right)$
$16\left(x-16\right)\left(x+16\right)$
Question 5:   Factorise: ${x}^{2}-9x+20$
$\left(x-2\right)\left(x+10\right)$
$\left(x+4\right)\left(x-5\right)$
$\left(x-3\right)\left(x+6\right)$
$\left(x-4\right)\left(x-5\right)$
Question 6:   Factorise: ${x}^{2}-2x-15$
$\left(x+1\right)\left(x-15\right)$
$\left(x-4\right)\left(x+5\right)$
$\left(x-2\right)\left(x+6\right)$
$\left(x+3\right)\left(x-5\right)$
Question 7:   Factorise: ${x}^{2}-2x-8$
$\left(x-2\right)\left(x+4\right)$
$\left(x+1\right)\left(x-8\right)$
$\left(x-1\right)\left(x+8\right)$
$\left(x+2\right)\left(x-4\right)$
Question 8:   Factorise: $6{x}^{2}-x-12$
$\left(x-1\right)\left(3x+12\right)$
$\left(2x-6\right)\left(3x+2\right)$
$\left(3x+4\right)\left(2x-3\right)$
$\left(3x-3\right)\left(4x+4\right)$
Question 9:   Factorise: $28{x}^{2}-27x-10$
$\left(2x-3\right)\left(14x+4\right)$
$\left(2x-5\right)\left(14x+3\right)$
$\left(7x+2\right)\left(4x-5\right)$
$\left(7x-5\right)\left(4x+2\right)$
Question 10:   Factorise: $-36{x}^{2}+54x+10$
$-\left(7x+5\right)\left(8x+2\right)$
$\left(6x-10\right)\left(12x+1\right)$
$\left(8x-1\right)\left(7x+5\right)$
$-2\left(3x-5\right)\left(6x+1\right)$