Question

Write your answer in standard form. (6x+7) (x-8)

a. 6x^2-24x-56
b. 6x^2+7x-56
c. 6x^2+21x+56
d. 6x^2-41x-56

(w+3)(w-3)
a. w^2+3w-3
b. w^2
c. w^2-9
d. w^2+w

Answer 1

(6x+7)(x-8)=6x^2-41x-56

Explanation:

(6x+7)(x-8)

Apply FOIL method: (a+b)(c+d)=ac+ad+bc+bd= a=6x, b=7 c=x, d=-8=6xx+6x(-8)+7x+7(-8)

Apply minus & plus rules: =6xx-6(8x+7x-7)8

simplify: 6xx-6(8x+7x-7)8=6x^2-41x-56

Answer 2

First one is d and second one is c

Explanation:

(6x+7)(x-8)

(6x)(x) = 6x^2

(6x)(-8) = -48

(7)(x) = 7x

(7)(-8) = -56

Add all like terms together and you get choice d.

(w+3)(w-3)

(w)(w) = w^2

(w)(-3) = -3w

(3)(w) = 3w

(3)(-3) = -9

Add all like terms together and you get choice c