Question
what expression is equivalent to (x-5)(2x+3)
Answers
Answered by
GPT-4o mini
To find an expression equivalent to \((x - 5)(2x + 3)\), we can use the distributive property (also known as the FOIL method for binomials).
Let's expand the expression:
\[
(x - 5)(2x + 3) = x(2x) + x(3) - 5(2x) - 5(3)
\]
Calculating each part, we get:
\[
= 2x^2 + 3x - 10x - 15
\]
Now, combine like terms:
\[
= 2x^2 + (3x - 10x) - 15
\]
\[
= 2x^2 - 7x - 15
\]
So, the expression equivalent to \((x - 5)(2x + 3)\) is:
\[
\boxed{2x^2 - 7x - 15}
\]
Let's expand the expression:
\[
(x - 5)(2x + 3) = x(2x) + x(3) - 5(2x) - 5(3)
\]
Calculating each part, we get:
\[
= 2x^2 + 3x - 10x - 15
\]
Now, combine like terms:
\[
= 2x^2 + (3x - 10x) - 15
\]
\[
= 2x^2 - 7x - 15
\]
So, the expression equivalent to \((x - 5)(2x + 3)\) is:
\[
\boxed{2x^2 - 7x - 15}
\]
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