Question

Multiply.
(3x-w) (3x-7w)
Simplify your answer.

Answer 1

7w^2+3x^2-24wx

Explanation:

we distribute

(3x-w)(3x-7w)

3x(3x)+3x(-7w)-w(3x)-w(-7w)

3x^2-21wx-3wx+7w^2

combine like terms

3x^2-24wx+7w^2

order correctly

7w^2+3x^2-24wx

hopes this helps

Answer 2

`9x^2-24xw+7w^2`

Explanation:

Given expression:

`(3x-w)(3x-7w)`

`\boxed{\begin{minipage}{5.5 cm}\underline{FOIL Method}\\\\$(a+b)(c+d)=ac+ad+bc+bd$\\ \end{minipage}}`

Apply the FOIL method to expand the brackets:

`\implies 3x \cdot 3x +3x \cdot(-7w)+(-w) \cdot 3x+(-w) \cdot (-7w)`

`\implies 9x^2-21xw-3xw+7w^2`

Combine like terms:

`\implies 9x^2-24xw+7w^2`