1) (5a+7b)² - 70ab= (5a)² + 2 5a 7b + (7b)² - 70ab= 25a² + 70ab + 49b² - 70ab= 25a² + 49b²
2) (x-8)² - 2x(6-x)²= x² - 16x + 64 - 2x(36 - 12x + x²)= x² - 16x + 64 - 72x + 24x² - 2x³= 24x² - 88x + 64 - 2x³
3) -6(2x-y)²= -6 * (2x - y)²= -6(4x² - 4xy + y²)= -24x² + 24xy - 6y²
4) (5+y)² + y(y-7)= (5 + y)² + y² - 7y= 25 + 10y + y² + y² - 7y= 2y² + 3y + 25
5) 9b² - (a-3b)²= 9b² - (a² - 6ab + 9b²)= 9b² - a² + 6ab - 9b²= 6ab - a²
1) (5a+7b)² - 70ab
= (5a)² + 2 5a 7b + (7b)² - 70ab
= 25a² + 70ab + 49b² - 70ab
= 25a² + 49b²
2) (x-8)² - 2x(6-x)²
= x² - 16x + 64 - 2x(36 - 12x + x²)
= x² - 16x + 64 - 72x + 24x² - 2x³
= 24x² - 88x + 64 - 2x³
3) -6(2x-y)²
= -6 * (2x - y)²
= -6(4x² - 4xy + y²)
= -24x² + 24xy - 6y²
4) (5+y)² + y(y-7)
= (5 + y)² + y² - 7y
= 25 + 10y + y² + y² - 7y
= 2y² + 3y + 25
5) 9b² - (a-3b)²
= 9b² - (a² - 6ab + 9b²)
= 9b² - a² + 6ab - 9b²
= 6ab - a²