Question

Multiply 7x(x^- x+2)

Answer 1

Rewrite (7x−2) 2 (7x-2) 2 as (7x−2) (7x−2) (7x-2) (7x-2).

(7x−2) (7x−2) (7x-2) (7x-2)

Expand (7x−2)(7x−2)(7x-2)(7x-2) using the FOIL Method.

Apply the distributive property.

7x (7x−2) −2 (7x−2) 7x (7x-2)-2 (7x-2)

Apply the distributive property.

7x(7x)+7x⋅−2−2(7x−2)7x (7x)+7x⋅-2-2(7x-2)

Apply the distributive property.

7x(7x)+7x⋅−2−2(7x)−2⋅−27x(7x)+7x⋅-2-2(7x)-2⋅-2

Simplify and combine like terms.

Simplify each term.

Multiply xx by xx.

7⋅7x2+7x⋅−2−2(7x)−2⋅−27⋅7x2+7x⋅-2-2(7x)-2⋅-2

Multiply 77 by 77.

49x2+7x⋅−2−2(7x)−2⋅−249x2+7x⋅-2-2(7x)-2⋅-2

Multiply −2-2 by 77.

49x2−14x−2(7x)−2⋅−249x2-14x-2(7x)-2⋅-2

Multiply 77 by −2-2.

49x2−14x−14x−2⋅−249x2-14x-14x-2⋅-2

Multiply −2-2 by −2-2.

49x2−14x−14x+449x2-14x-14x+4

Subtract 14x14x from −14x-14x.

49x2−28x+4