Question

(x + 10 )³ indique o produto notável
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Answer 1

(a + b)³ = a³ + 3a²b + 3ab² + b³

(x + 10)³ = x³ + 3(x)²(10) + 3(x)(10)² + (10)³

(x + 10)³ = x³ + 30x² + 300x + 1000

Answer 2

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$\Large\boxed{\underline{\sf Bin\hat omio~de~Newton}}\\\boxed{\sf(a+b)^n=\binom{n}{0}a^n+\binom{n}{1}a^{n-1}b+\binom{n}{3}a^{n-2}b^2+...\binom{n}{n}b^n}\\\boxed{\underline{\sf cubo~da~soma~de~dois~termos}}\\\boxed{\sf(a+b)^3=a^3+3a^2b+3ab^2+b^3}$

$\underline{\tt por~bin\hat omio~de~Newton:}\\\sf (x+10)^3=\binom{3}{0}x^3+\binom{3}{1}x^2\cdot 10+\binom{3}{2}x\cdot10^2+\binom{3}{3}10^3\\\underline{\rm c\acute alculos~auxiliares:}\\\rm \binom{3}{0}=\dfrac{3}{1}=1\\\rm\binom{3}{1}=3\\\rm\binom{3}{2}=\dfrac{3\cdot\diagup\!\!\!2}{\diagup\!\!\!2\cdot1}=3\\\rm \binom{3}{3}=1\\\sf (x+10)^3=x^3+3\cdot x^2\cdot10+3\cdot x\cdot 10^2+10^3\\\sf(x+10)^3=x^3+30x^2+300x+1000\\\underline{\tt pelo~cubo~da~soma~de~dois~termos:}$

$\sf (x+10)^3=x^3+3\cdot x^2\cdot10+3\cdot x\cdot10^2+10^3\\\sf (x+10)^3=x^3+30x^2+300x+1000$