Упростить выражение:1) a (a+2b)-(b+a)^23) 3 (b-1)^2+8b5) 2c (8c-3)-(-4c+1)^2

Question

Упростить выражение:
1) a (a+2b)-(b+a)^2
3) 3 (b-1)^2+8b
5) 2c (8c-3)-(-4c+1)^2

Answer 1

1) a^2+2ab-b^2-2ab-a^2=-b^2
3) 16c^2-6c-16c^2-8c-1=-14c-1
5) (x^2-4)(x^2-4)-x^4+16=x^4-8x^2+16-x^4+16=32-8x^2

Answer 2

A(a+2b)-(b+a)²=a²+2ab-(b²+2ab+a²)=a²+2ab-b²-2ab-a²=-b².
3(b-1)²+8b=3(b²-2b+1)+8b=3b²-6b+3+8b=3b²+2b+3.
2c(8c-3)-(-4c+1)²=16c²-6c-(16c²-8c+1)=16c²-6c-16c²+8c-1=2c-1.