Expand. If necessary, combine like terms. (x+6)(x+6)=

Apply FOIL method: To expand the expression (x+6)(x+6), we will use the distributive property, also known as the FOIL method for binomials, which stands for First, Outer, Inner, Last. First, we multiply the first terms in each binomial: x * x = x^2.Multiply first terms: Next, we multiply the outer terms: x * 6 = 6x.Multiply outer terms: Then, we multiply the inner terms: 6 * x = 6x.Multiply inner terms: Finally, we multiply the last terms in each binomial: 6 * 6 = 36.Multiply last terms: Now, we combine like terms. The like terms here are the two 6x terms from the outer and inner multiplications. 6x + 6x = 12x.Combine like terms: We add all the terms together to get the final expanded form. x^2 + 12x + 36.

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Expand. If necessary, combine like terms.

(x+6)(x+6)=

Expand. If necessary, combine like terms. $\newline$ $(x+6)(x+6)=$

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Algebra 1

Multiply two binomials: special cases

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Q. Expand. If necessary, combine like terms.

\newline

(x+6)(x+6)=

Apply FOIL method: To expand the expression $(x+6)(x+6)$ , we will use the distributive property, also known as the FOIL method for binomials, which stands for First, Outer, Inner, Last. $\newline$ First, we multiply the first terms in each binomial: $x \times x = x^2$ .
Multiply first terms: Next, we multiply the outer terms: $x \times 6 = 6x$ .
Multiply outer terms: Then, we multiply the inner terms: $6 \times x = 6x$ .
Multiply inner terms: Finally, we multiply the last terms in each binomial: $6 \times 6 = 36$ .
Multiply last terms: Now, we combine like terms. The like terms here are the two $6x$ terms from the outer and inner multiplications. $\newline$ $6x + 6x = 12x$ .
Combine like terms: We add all the terms together to get the final expanded form. $x^2 + 12x + 36$ .