Question

An expression is shown.

-3a(a + b - 5) + 4(-2a + 2b) + b(a + 3b - 7)
Which expression is equivalent to the expression shown?
-11a² + 3b² - 2ab + 7a+ b
-11a²+ 3b²-4ab + 7a+ b
-3a²+ 3b² - 2ab + 7a+ b
-3a² + 3b²
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4ab + 7a+ b

Answer 1

C. -3a^2 + 3b^2 - 2ab + 7a + b

Explanation:

Let's combine like terms.

-3a(a + b - 5) + 4(-2a + 2b) + b(a + 3b - 7) distribute

-3a^2 - 3ab + 15a - 8a + 8b + ba + 3b^2 - 7b combine

-3a^2 - 2ab + 7a + b + 3b^2

This is the same as answer C, the terms are just rewritten in a different order.