Question

I Need help plz

i'm dumb
Use any method to multiply (–14ab)(a + 3b – 4c).
Question 2 options:

A)

–14a2b – 42ab2 + 56c2

B)

14a2b + 42ab2 + 56abc

C)

–14a2b – 42ab2 + 56abc

D)

–14a2b – 42a2b2 + 56c

Answer 1

-14 a^2 b - 42 a b^2 + 56 a b c C. is the answer

Explanation:

Expand the following:

-14 a b (a + 3 b - 4 c)

Hint: | Distribute -14 a b over a + 3 b - 4 c.

-14 a b (a + 3 b - 4 c) = -14 a b a - 14 a b×3 b - 14 a b (-4 c):

-14 a b a - 14×3 a b b - 14 (-4) a b c

Hint: | Combine products of like terms.

-14 a b a = -14 a^2 b:

-14 a^2 b - 14×3 a b b - 14 (-4) a b c

Hint: | Combine products of like terms.

-14 a b×3 b = -14 a b^2×3:

-14 a^2 b + -14×3 a b^2 - 14 (-4) a b c

Hint: | Multiply -14 and 3 together.

-14×3 = -42:

-14 a^2 b + -42 a b^2 - 14 (-4) a b c

Hint: | Multiply -14 and -4 together.

-14 (-4) = 56:

Answer: -14 a^2 b - 42 a b^2 + 56 a b c