Expand. If necessary, combine like terms. (x+2)(x+2)=

Identify problem structure: Identify the structure of the problem. We have the expression (x+2)(x+2), which is a product of two identical binomials.Apply FOIL method: Apply the FOIL method to expand the product of the two binomials. FOIL stands for First, Outer, Inner, Last, which refers to the terms in each binomial that are multiplied together. First: x * x = x^2 Outer: x * 2 = 2x Inner: 2 * x = 2x Last: 2 * 2 = 4Combine like terms: Combine like terms from the FOIL expansion. We have x^2 from the First, 2x + 2x from the Outer and Inner, and 4 from the Last. x^2 + 2x + 2x + 4 Combine the like terms (2x and 2x): x^2 + 4x + 4

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Expand. If necessary, combine like terms.

(x+2)(x+2)=

Expand. If necessary, combine like terms. $\newline$ $(x+2)(x+2)=$

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Expand. If necessary, combine like terms.

\newline

(x+2)(x+2)=

Identify problem structure: Identify the structure of the problem. $\newline$ We have the expression $(x+2)(x+2)$ , which is a product of two identical binomials.
Apply FOIL method: Apply the FOIL method to expand the product of the two binomials. $\newline$ FOIL stands for First, Outer, Inner, Last, which refers to the terms in each binomial that are multiplied together. $\newline$ First: $x \times x = x^2$ $\newline$ Outer: $x \times 2 = 2x$ $\newline$ Inner: $2 \times x = 2x$ $\newline$ Last: $2 \times 2 = 4$
Combine like terms: Combine like terms from the FOIL expansion. $\newline$ We have $x^2$ from the First, $2x + 2x$ from the Outer and Inner, and $4$ from the Last. $\newline$ $x^2 + 2x + 2x + 4$ $\newline$ Combine the like terms ( $2x$ and $2x$ ): $\newline$ $x^2 + 4x + 4$