What is expand cos^2(x)(1-x)(7-x^3) ?

The solution to expand cos^2(x)(1-x)(7-x^3) is 7cos^2(x)-cos^2(x)x^3-7xcos^2(x)+cos^2(x)x^4

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expand cos^2(x)(1-x)(7-x^3)

expand

cos^{2} (x) (1 - x) (7 - x^{3})

7 cos^{2} (x) - cos^{2} (x) x^{3} - 7 x cos^{2} (x) + cos^{2} (x) x^{4}

Solution steps

cos^{2} (x) (1 - x) (7 - x^{3})

Expand

cos^{2} (x) (1 - x) (7 - x^{3}) : cos^{2} (x) (7 - x^{3} - 7 x + x^{4})

= cos^{2} (x) (7 - x^{3} - 7 x + x^{4})

Distribute parentheses

= cos^{2} (x) \cdot 7 + cos^{2} (x) (- x^{3}) + cos^{2} (x) (- 7 x) + cos^{2} (x) x^{4}

Simplify

cos^{2} (x) \cdot 7 + cos^{2} (x) (- x^{3}) + cos^{2} (x) (- 7 x) + cos^{2} (x) x^{4} : 7 cos^{2} (x) - cos^{2} (x) x^{3} - 7 x cos^{2} (x) + cos^{2} (x) x^{4}

= 7 cos^{2} (x) - cos^{2} (x) x^{3} - 7 x cos^{2} (x) + cos^{2} (x) x^{4}

(x^{3} + 3 x^{2} - 4 x + 3)^{5}

x (x - 5) (x + 5 + 22) (x + 5 - 22)

(x + x + 4)^{2}

\frac{( s ( s + 5 ) ( s + 6 ) ( s ^{2} + 2 s + 2 ) )}{s + 3}

(\frac{226}{2} + 2) (\frac{226}{2} - 2) (11)

What is expand cos^2(x)(1-x)(7-x^3) ?
The solution to expand cos^2(x)(1-x)(7-x^3) is 7cos^2(x)-cos^2(x)x^3-7xcos^2(x)+cos^2(x)x^4