How do you foil (x-1)^2?

Sapewa 2021-12-11 Answered
How do you foil \(\displaystyle{\left({x}-{1}\right)}^{{2}}?\)

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Expert Answer

usumbiix
Answered 2021-12-12 Author has 1919 answers
\(\displaystyle{\left({x}-{1}\right)}^{{2}}={x}^{{2}}-{2}{x}+{1}\)
Explanation:
FOIL is a mnemonic to help remember which combinations of terms need to be combined to evaluate the product of two binomials.
In our example, \(\displaystyle{\left({x}-{1}\right)}^{{2}}={\left({x}-{1}\right)}{\left({x}-{1}\right)}\) can be evaluated as follows:
\(\displaystyle{\left({x}-{1}\right)}{\left({x}-{1}\right)}=\overbrace{{{x}\cdot{x}}}^{{\text{First}}}+\overbrace{{{x}\cdot{\left(-{1}\right)}}}^{{\text{Outside}}}+\overbrace{{{\left(-{1}\right)}\cdot{x}}}^{{\text{Inside}}}+\overbrace{{{\left(-{1}\right)}\cdot{\left(-{1}\right)}}}^{{\text{Last}}}\)
\(\displaystyle={x}^{{2}}-{x}-{x}+{1}\)
\(\displaystyle={x}^{{2}}-{2}{x}+{1}\)
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ambarakaq8
Answered 2021-12-13 Author has 1496 answers
Wow great solution
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