ALGEBRA NATION Question 5 of 10 < Previous Question Next Question > Rewrite the expression below. -2a(a + b – 5) + 3(-5a + 2b) + b(6a + b – 8)

–2a² + 4ab – 5a – 2b + b²

Solution:

Given data:

–2a(a + b – 5) + 3(–5a + 2b) + b(6a + b – 8)

To solve this expression:

Multiply each number or variable into the bracket.

–2a(a + b – 5) + 3(–5a + 2b) + b(6a + b – 8)

        = –2a² – 2ab + 10a – 15a + 6b + 6ab + b² – 8b

Arrange like terms together.      

       = –2a² – 2ab + 6ab + 10a – 15a + 6b – 8b + b²

       = –2a² + 4ab – 5a – 2b + b²

Hence the solution is  –2a² + 4ab – 5a – 2b + b².

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step-by-step explanation: