Mathematics: Binomial multiplication (foil) paper (x-2)(x-4)

Binomial multiplication (foil) paper (x-2)(x-4)

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08.01.2022

$x^{2}-6x+8$

Step-by-step explanation:

Given:

Binomial is (x-2)(x-4) .

In FOIL method, we first multiply the first term of each binomial. First terms are and .

⇒ $x\times x=x^{2}$

Next, we multiply the outer terms. Outer terms are and -4.

⇒ $x\times -4=-4x$

Next, we multiply the inner terms. Inner terms are -2 and .

$-2\times x=-2x$

Lastly, we multiply the last terms of each binomial. Last terms are -2 and -4.

$-2\times -4=8$

Now, we add all the results to get the answer.

Therefore, $(x-2)(x-4)=x^{2}-4x-2x+8=x^{2}-6x+8$

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