First let's simplify both products:
(x + 9y)(x - 7= x(x) + 9y(x) - 7(x) - 63= x^2 + 9xy - 7x - 63y
(-6x + 6y)(-5x - 1= -6x(-5x) + 6y(-5x) - (-6x)(-1) - 6y(-1= 30x^2 - 30xy + 6x + 6y
Now we can subtract the two products:
(x^2 + 9xy - 7x - 63y) - (30x^2 - 30xy + 6x + 6y= x^2 + 9xy - 7x - 63y - 30x^2 + 30xy - 6x - 6= -29x^2 + 39xy - 13x - 69y
Therefore, (x + 9y)(x - 7) - (-6x + 6y)(-5x - 1) simplifies to -29x^2 + 39xy - 13x - 69y.
First let's simplify both products:
(x + 9y)(x - 7
= x(x) + 9y(x) - 7(x) - 63
= x^2 + 9xy - 7x - 63y
(-6x + 6y)(-5x - 1
= -6x(-5x) + 6y(-5x) - (-6x)(-1) - 6y(-1
= 30x^2 - 30xy + 6x + 6y
Now we can subtract the two products:
(x^2 + 9xy - 7x - 63y) - (30x^2 - 30xy + 6x + 6y
= x^2 + 9xy - 7x - 63y - 30x^2 + 30xy - 6x - 6
= -29x^2 + 39xy - 13x - 69y
Therefore, (x + 9y)(x - 7) - (-6x + 6y)(-5x - 1) simplifies to -29x^2 + 39xy - 13x - 69y.