Question

Multiply the binomials (4x + 7) and (2x - 8).

es )
A)
8x2 +18x - 56
B)
8x2 - 18x - 56
8x2 - 46x + 56
D)
8x2 - 46x - 56

Answer 1

8x²-18x-56

Solve :

• (4x + 7) (2x - 8)

apply distributive method

• (4x)(2x)+(4x)(-8)+7(2x)+7(-8)

simplify the following

• 8x²-32x+14x-56

final outcome

• 8x²-18x-56

Answer 2

B)
`8x^2-18x-56`

Explanation:

Given expression:

`(4x + 7)(2x - 8)`

Apply the FOIL method:
`(a+b)(c+d)=ac+ad+bc+bd`

`\implies (4x \cdot 2x)+(4x \cdot -8)+(7 \cdot 2x) +(7 \cdot -8)`

`\implies 8x^2-32x+14x-56`

Combine like terms:

`\implies 8x^2-18x-56`