Find the missing term. (x+2)(x+5) x^(2)+5x+2x+(2)*(5) x^(2)_____+10

Apply Distributive Property: Apply the distributive property to multiply the first term in the first binomial by both terms in the second binomial. (x+2)(x+5) = x(x+5) + 2(x+5)Distribute x: Distribute x across the terms inside the parentheses. x(x+5) = x^2 + 5xDistribute 2: Distribute 2 across the terms inside the parentheses. 2(x+5) = 2x + 10Combine Terms: Combine the results from Step 2 and Step 3. x^2 + 5x + 2x + 10Combine Like Terms: Combine like terms (5x and 2x). x^2 + 5x + 2x + 10 = x^2 + (5x + 2x) + 10 = x^2 + 7x + 10

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Find the missing term.
(x+2)(x+5)
x^(2)+5x+2x+(2)*(5)
x^(2)_____+10

Find the missing term. $\newline$ $(x+2)(x+5)$ $\newline$ $x^{2}+5 x+2 x+(2) \cdot(5)$ $\newline$ $x^{2}\_\_\_\_\_+10$

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Math Problems

Calculus

Find higher derivatives of rational and radical functions

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Q. Find the missing term.

\newline

(x+2)(x+5)

\newline

x^{2}+5 x+2 x+(2) \cdot(5)

\newline

x^{2}\_\_\_\_\_+10

Apply Distributive Property: Apply the distributive property to multiply the first term in the first binomial by both terms in the second binomial. $\newline$ $(x+2)(x+5) = x(x+5) + 2(x+5)$
Distribute $x$ : Distribute $x$ across the terms inside the parentheses.\\newline\) $x(x+5) = x^2 + 5x$
Distribute $2$ : Distribute $2$ across the terms inside the parentheses. $\newline$ $2(x+5) = 2x + 10$
Combine Terms: Combine the results from Step $2$ and Step $3$ . $\newline$ $x^2 + 5x + 2x + 10$
Combine Like Terms: Combine like terms $5x$ and $2x$ . $\newline$ $x^2 + 5x + 2x + 10$ $\newline$ $= x^2 + (5x + 2x) + 10$ $\newline$ $= x^2 + 7x + 10$