Question

How do you multiply `(4u+7v)^2`?

Answer 1

`(4u+7v)^2=16u^2+56uv+49v^2`

Explanation:

`(4u+7v)^2`

= `(4u+7v)(4u+7v)`

= `4u(4u+7v)+7v(4u+7v)`

= `4u×4u+4u×7v+7v×4u+7v×7v`

= `16u^2+28uv+28uv+49v^2`

= `16u^2+56uv+49v^2`