Question

factorise x² + xy + 8x + 8y
$ans \: the \: equestion$
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Answer 1

Answer:

First you have to group it

x2 + 8x + xy + 8y

take x common from first 2 and y from others

x (x +8) + y(x +8)

= (x+y)(x+8)

Answer 2

$\sf \: {x}^{2} + xy + 8x + 8y$

$\implies \sf x \times x + x \times y + 8 \times x + 8 \times y$

$\implies \sf \: x(x + y) + 8(x + y)$

$\implies \sf \: (x + y)(x + 8)$

$\rule{300px}{.8ex}$

Additional information:-

$\leadsto\boxed{\red{ \sf a^2 - b^2 = (a - b)(a + b)}}$

$\leadsto\boxed{\red{ \sf (a + b)^2 = a^2 + 2ab + b^2}}$

$\leadsto\boxed{\red{ \sf (a - b)^2 = a^2 - 2ab + b^2}}$

$\leadsto\boxed{\red{ \sf a^3 - b^3 = (a - b)(a^2 + ab + b^2)}}$

$\leadsto\boxed{\red{ \sf a^3 + b^3 = (a + b)(a^2 – ab + b^2)}}$

$\boxed{\red{ \sf (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca}}$

$\boxed{\red{ \sf (a - b -c)^2 = a^2 + b^2 + c^2 -2ab + 2bc - 2ca}}$