 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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$$\displaystyle{\left({x}-{1}\right)}^{{2}}={x}^{{2}}-{2}{x}+{1}$$
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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