Question

factorise (y-4)(y+7)​

Answer 1

$\: \huge\mathbb\colorbox{black}{\color{white}{AnSwEr}}$

$\sf \: Distribute \\ = \: \sf \: {\color{#c92786}{(y-4)(y+7)}}\\ \sf = \: y(y+7)−4(y+7)$

$\sf \: Distribute \\ \sf \: = \: y(y + 7) - 4(y + 7) \\ = {y}^{2} + 7y - 4(y + 7)$

$\sf \: Distribute \\ \sf= {y}^{2} +7y−4(y+7) \\ = \sf \: {y}^{2} +7y−4y−28$

$\sf \: Combine \: like \: terms \\ = \sf \: {y}^{2} +7y−4y−28 \\ \sf \: = \: {y}^{2} +3y−28$

$\sf \: your \: answer \: is \: \\ = \sf\pink{ {y}^{2} + 3y - 28}$

hope it was helpful to you

Answer 2

$\huge\tt\red{y(y+7) -4(y+7) }$

$\huge\tt\pink{y²+7y-4(y+7) }$

$\huge\tt\purple{y²+7y-4y-28}$

$\huge\tt\red{y²+3y-28}$

$\huge \tt\pink{SOLUTION : y²+3y-28}$