–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.