Question

(-5x-y)^2-10x(-7x+y)

Answer 1

25x^2+10xy+y^2+70x^2-10xy=95x^2+y^2

Answer 2

To simplify the expression $(-5x - y)^2 - 10x(-7x + y)$, you can follow these steps:

1. Square the binomial $(-5x - y)^2$:

$(-5x - y)^2 = (-5x - y) × (-5x - y) = 25x^2 + 10xy + y^2$

2. Distribute the -10x into the second term $-10x(-7x + y)$:

$-10x(-7x + y) = 70x^2 - 10xy$

3. Now, subtract the second result from the first:

$(25x^2 + 10xy + y^2) - (70x^2 - 10xy) = 25x^2 + 10xy + y^2 - 70x^2 + 10xy$

4. Combine like terms:

$25x^2 - 70x^2 + 10xy + 10xy + y^2 = -45x^2 + 20xy + y^2$

So, $(-5x - y)^2 - 10x(-7x + y) = -45x^2 + 20xy + y^2$.