Question

Factorize xsquare -12x + 32 by splitting the middle term​

Answer 1

x²-12x+32

x²-8x-4x+32

x(x-8)-4(x-8)

(x-8)(x-4)

Answer 2

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$x {}^{2} - 12x + 32$

➪Write 12x as a difference

$x {}^{2} - 4x - 8x + 32$

➪Factor out X from the expression

$x \times (x - 4) - 8x + 32$

➪Factor out -8 from the expression

$x \times (x - 4) - 8(x - 4)$

➪Factor out x-4 from the expression

$(x - 4) \times (x - 8)$

Hence, (X-4)×(X-8) is the required answer ✔︎