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How do you foil (- 4x + 5) (- 2x - 3)?

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8 x^{2}

+ 2x - 15

6 x^{2}

- 2x + 15

6 x^{2}

- 22x - 15

8 x^{2}

+ 22x + 15

answer is A.

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Detailed Solution

Given, (- 4x + 5) (- 2x - 3)
We know that (a + b) (c + d) = a (c + d) + b (c + d)

\Rightarrow

- 4x (- 2x – 3) + 5 (- 2x – 3)
Now, we will use the distributive property

\Rightarrow

(- 4x) (- 2x) + (- 4x) (- 3) + (5) (- 2x) + (5) (- 3)

\Rightarrow

8 x^{2}

+ 12x - 10x - 15

\Rightarrow

8 x^{2}

+ 2x - 15.

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