Question

multiply.
(w - 3)(w + 1)
simplify your answer.
question 14 of 15
multiply.
(5 + 4a)(7 - 6a)
simplify your answer.
question 15 of 15
multiply.
(3a - 2b)(6a - 5b)
simplify your answer.

Explanation:

Step1: Apply FOIL to first product

$(w-3)(w+1) = w\cdot w + w\cdot1 -3\cdot w -3\cdot1$

Step2: Simplify first product

$w^2 + w - 3w - 3 = w^2 -2w -3$

Step3: Apply FOIL to second product

$(5+4a)(7-6a) = 5\cdot7 +5\cdot(-6a)+4a\cdot7 +4a\cdot(-6a)$

Step4: Simplify second product

$35 -30a +28a -24a^2 = 35 -2a -24a^2$

Step5: Apply FOIL to third product

$(3a-2b)(6a-5b)=3a\cdot6a +3a\cdot(-5b)-2b\cdot6a -2b\cdot(-5b)$

Step6: Simplify third product

$18a^2 -15ab -12ab +10b^2 = 18a^2 -27ab +10b^2$

Answer:

1. $w^2 - 2w - 3$
2. $-24a^2 - 2a + 35$
3. $18a^2 - 27ab + 10b^2$