Apply Distributive Property: Apply the distributive property to multiply the two binomials. We have: (x+4)(x+5) To multiply these, we use the FOIL method, which stands for First, Outer, Inner, Last. First: Multiply the first terms in each binomial, x * x = x^2. Outer: Multiply the outer terms, x * 5 = 5x. Inner: Multiply the inner terms, 4 * x = 4x. Last: Multiply the last terms, 4 * 5 = 20.Use FOIL Method: Combine like terms from the FOIL results. We now add the results of the FOIL method together: x^2 + 5x + 4x + 20 Combine the 5x and 4x to get 9x. So the expression simplifies to x^2 + 9x + 20.

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Multiply. $(x+4)(x+5)$

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Math Problems

Grade 7

Add and subtract linear expressions

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Q. Multiply.

(x+4)(x+5)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ We have: $(x+4)(x+5)$ $\newline$ To multiply these, we use the FOIL method, which stands for First, Outer, Inner, Last. $\newline$ First: Multiply the first terms in each binomial, $x \times x = x^2$ . $\newline$ Outer: Multiply the outer terms, $x \times 5 = 5x$ . $\newline$ Inner: Multiply the inner terms, $4 \times x = 4x$ . $\newline$ Last: Multiply the last terms, $4 \times 5 = 20$ .
Use FOIL Method: Combine like terms from the FOIL results. $\newline$ We now add the results of the FOIL method together: $\newline$ $x^2 + 5x + 4x + 20$ $\newline$ Combine the $5x$ and $4x$ to get $9x$ . $\newline$ So the expression simplifies to $x^2 + 9x + 20$ .