Question

( -5x- 3y)^2- (5x +3y)(3y -5x)

Answer 1

Ответ:

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Answer 2

To simplify the expression $( -5x - 3y)^2 - (5x + 3y)(3y - 5x)$, you can start by expanding both terms and then simplifying. Here's the step-by-step process:

1. Expand the square of $(-5x - 3y)^2$: $(-5x - 3y)^2 = (-5x - 3y)(-5x - 3y)$ Use the FOIL method to expand this expression: $(-5x - 3y)(-5x - 3y) = 25x^2 + 30xy + 9y^2$

2. Expand the product $(5x + 3y)(3y - 5x)$ using the FOIL method: $(5x + 3y)(3y - 5x) = 15xy - 25x^2 + 9y^2 - 15xy$

Now, subtract the second expression from the first:

$25x^2 + 30xy + 9y^2 - (15xy - 25x^2 + 9y^2 - 15xy)$

Simplify by combining like terms:

$25x^2 + 30xy + 9y^2 - 15xy + 25x^2 - 9y^2 + 15xy$

Now, some terms will cancel out:

$25x^2 + 25x^2 - 9y^2 + 9y^2$

Combine like terms further:

$50x^2$

So, the simplified expression is $50x^2$.