Question

Factors of x2 + xy+ 8x + 8y

Answer 1

(x + y) (x + 8)

Explanation:

`x^2+xy+8x+8y`

`=\left(x^2+xy\right)+\left(8x+8y\right)`

`\mathrm{factor\;out\;x\;from\;x^2+xy}:x(x+y)`

`\mathrm{factor\;out \;8\;from\;8x+8y}:8(x+y)`

`=x\left(x+y\right)+8\left(x+y\right)`

`\mathrm{Factor\:out\:common\:term\:}x+y`

`=\left(x+y\right)\left(x+8\right)`

Answer =
`\left(x+y\right)\left(x+8\right)`

~Learn with Lenvy~

Answer 2

(x + y)(x + 8)

Explanation:

• x² + xy + 8x + 8y
• x² + 8x + xy + 8y [∴Combining like terms]
• x(x + 8) + y(x + 8)
• (x + y)(x + 8)