Question

SO i need help urgently. 15 points!

Simplify b ( a + b ) - a ( a - b ).

a2 + 2 ab + b2
a2 - 2 ab + b2
- a2 + 2 ab + b2
- a2 - 2 ab - b2

Answer 1

-a^2 +2ab +b^2

Explanation:

b ( a + b ) - a ( a - b )

Distribute

ba +b*b -a*a +a*b

ab +b^2 -a^2 +ab

Combine like terms

-a^2 +2ab +b^2

Answer 2

-a² + 2ab + b² is your answer, or C).

Explanation:

b(a + b) -a (a - b)

Distribute b to (a + b), and -a to (a - b)

b(a + b) = ab + b²

-a(a - b) = -a² + ab

Simplify. Combine like terms.

(-a² + ab) + (ab + b²) = -a² + 2ab + b²

-a² + 2ab + b² is your answer, or C).

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