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Popular >

expand sin^3(2x)(5x+3)^7

Solution

expand

sin^{3} (2 x) (5 x + 3)^{7}

Solution

78125 sin^{3} (2 x) x^{7} + 328125 sin^{3} (2 x) x^{6} + 590625 sin^{3} (2 x) x^{5} + 590625 sin^{3} (2 x) x^{4} + 354375 sin^{3} (2 x) x^{3} + 127575 sin^{3} (2 x) x^{2} + 25515 x sin^{3} (2 x) + 2187 sin^{3} (2 x)

Solution steps

sin^{3} (2 x) (5 x + 3)^{7}

Expand

(5 x + 3)^{7} : 78125 x^{7} + 328125 x^{6} + 590625 x^{5} + 590625 x^{4} + 354375 x^{3} + 127575 x^{2} + 25515 x + 2187

= sin^{3} (2 x) (78125 x^{7} + 328125 x^{6} + 590625 x^{5} + 590625 x^{4} + 354375 x^{3} + 127575 x^{2} + 25515 x + 2187)

Distribute parentheses

= sin^{3} (2 x) \cdot 78125 x^{7} + sin^{3} (2 x) \cdot 328125 x^{6} + sin^{3} (2 x) \cdot 590625 x^{5} + sin^{3} (2 x) \cdot 590625 x^{4} + sin^{3} (2 x) \cdot 354375 x^{3} + sin^{3} (2 x) \cdot 127575 x^{2} + sin^{3} (2 x) \cdot 25515 x + sin^{3} (2 x) \cdot 2187

= 78125 sin^{3} (2 x) x^{7} + 328125 sin^{3} (2 x) x^{6} + 590625 sin^{3} (2 x) x^{5} + 590625 sin^{3} (2 x) x^{4} + 354375 sin^{3} (2 x) x^{3} + 127575 sin^{3} (2 x) x^{2} + 25515 x sin^{3} (2 x) + 2187 sin^{3} (2 x)

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Frequently Asked Questions (FAQ)

What is expand sin^3(2x)(5x+3)^7 ?
The solution to expand sin^3(2x)(5x+3)^7 is