Which expression is equivalent to x2+3x+2 A) (x+3)(x+1)
B) (x+2)(x+1)
C) (x+2)(x-1)
D) (x+3)(x-1)

(a + b)(c + d) = ac + ad + bc + bd

A) (x + 3)(x + 1) = x² + x + 3x + 4 = x² + 4x + 4

B) (x + 2)(x + 1) = x² + x + 2x + 2 = x² + 3x + 2

C) (x + 2)(x - 1) = x² - x + 2x - 2 = x² + x - 2

D) (x + 3)(x - 1) = x² - x + 3x - 3 = x² + 2x - 3

B.

B

Step-by-step explanation:

x² + 3x + 2

Sum = 3

Product = 2

Factors = 2 , 1 {2 +1 = 3 & 2*1 = 2}

x² + 2x +x + 2 = x(x + 2 ) + 1(x +2)

                       = (x +2)(x + 1)

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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