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oksian1 [2.3K]
3 years ago
11

(16x3 + 40x2 + 72) (2x + 6)

Mathematics
1 answer:
Volgvan3 years ago
8 0
(16x^3+40x^2+72)(2x+6)=32x^4+96x^3+80x^3+240x^2+144x+432=32x^4+176x^3+240x^2+144x+432

In this case, you have to multiply each term of one parenthesis by each term in the second bracket. After receiving a number of factors need to be segregated and placed in the correct order.

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Answer:

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<img src="https://tex.z-dn.net/?f=%285%5E%7B3%7D%29%5E%7B-3%7D" id="TexFormula1" title="(5^{3})^{-3}" alt="(5^{3})^{-3}" align="
morpeh [17]

<h3>\frac{1}{1953125} ✅</h3>

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

( { {5}^{3} })^{ - 3}  \\   \\ which\:means \:that \: {5}^{3}\:  is \:multiplied \:thrice\: with\: itself\\ \\ =  {5}^{3 \times  - 3}  \\ \\   =  {5}^{ - 9}  \\  \\=  \frac{1}{ {5}^{9} }  \\  \\  =  \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5}  \\   \\ =  \frac{1}{1953125}

<u>Note</u>:-

( { {a}^{m} })^{n}  =  {a}^{m \times n}

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