(5x+7y) (2x-3y)

To simplify the expression (5x+7y)(2x-3y), we can use the distributive property.

First, let's distribute 5x to both terms in the second parentheses: 5x * 2x = 10x^2 5x * -3y = -15xy

Next, let's distribute 7y to both terms in the second parentheses: 7y * 2x = 14xy 7y * -3y = -21y^2

Now let's combine these terms together: 10x^2 + (-15xy) + (14xy) + (-21y^2)

Simplifying further: 10x^2 - 15xy + 14xy - 21y^2

Now let's combine like terms: 10x^2 - xy - 21y^2

So, the simplified expression is 10x^2 - xy - 21y^2.