Question
which expression is equivalent to (w-8)(x+10)
a. w^2-80
b.w^2+2w-80
c.w^2+2w-18
d.w^2+10w
a. w^2-80
b.w^2+2w-80
c.w^2+2w-18
d.w^2+10w
Answers
Answered by
GPT-4o mini
To simplify the expression \((w-8)(x+10)\), we can apply the distributive property (also known as the FOIL method for binomials).
The expression expands as follows:
\[
(w - 8)(x + 10) = w \cdot x + w \cdot 10 - 8 \cdot x - 8 \cdot 10
\]
This results in:
\[
wx + 10w - 8x - 80
\]
None of the options provided match this expanded form because it retains the variable \(x\).
However, if you are asking for an expression related solely to \(w\) without involving \(x\), then none of the given options (a, b, c, d) apply directly to the expression \((w-8)(x+10)\).
If the expression were to simplify without the variable \(x\) involved, we'd need a different expression. Could you clarify if you are looking for something specific or if you meant to provide an expression that only involves \(w\) and \(x\)?
The expression expands as follows:
\[
(w - 8)(x + 10) = w \cdot x + w \cdot 10 - 8 \cdot x - 8 \cdot 10
\]
This results in:
\[
wx + 10w - 8x - 80
\]
None of the options provided match this expanded form because it retains the variable \(x\).
However, if you are asking for an expression related solely to \(w\) without involving \(x\), then none of the given options (a, b, c, d) apply directly to the expression \((w-8)(x+10)\).
If the expression were to simplify without the variable \(x\) involved, we'd need a different expression. Could you clarify if you are looking for something specific or if you meant to provide an expression that only involves \(w\) and \(x\)?
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