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

Answer:

B)  $8x^2-18x-56$

Step-by-step 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:

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