Question

facorise the following expressions. x² +x-72​

Answer 1

Answer(x-8)(x+9)

Step-by-step explanation:

x^2+x-72

x^2+9x-8x-72

x(x+9)-8(x+9)

(x-8)(x+9)

Answer 2

Answer:

$\boxed{\sf (x + 9)(x - 8)}$

Step-by-step explanation:

$\sf Factor \: the \: following: \\ \sf \implies {x}^{2} + x - 72 \\ \\ \sf The \: factors \: of \: - 72 \: that \: sum \: to \: 1 \\ \sf are \: 9 \: and \: - 8. \\ \\ \sf So, \\ \sf \implies {x}^{2} + (9 - 8)x - 72 \\ \\ \sf \implies {x}^{2} + 9x - 8x - 72 \\ \\ \sf \implies x(x + 9) - 8(x + 9) \\ \\ \sf \implies (x + 9)(x - 8)$