What is expand 2[(2+t^4)(5-t^2)] ?

The solution to expand 2[(2+t^4)(5-t^2)] is -2t^6+10t^4-4t^2+20

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expand 2[(2+t^4)(5-t^2)]

expand

2 [(2 + t^{4}) (5 - t^{2})]

- 2 t^{6} + 10 t^{4} - 4 t^{2} + 20

Solution steps

2 ((2 + t^{4}) (5 - t^{2}))

Remove parentheses:

(a) = a

= 2 (2 + t^{4}) (5 - t^{2})

Expand

(2 + t^{4}) (5 - t^{2}) : 10 - 2 t^{2} + 5 t^{4} - t^{6}

= 2 (10 - 2 t^{2} + 5 t^{4} - t^{6})

Expand

2 (10 - 2 t^{2} + 5 t^{4} - t^{6}) : 20 - 4 t^{2} + 10 t^{4} - 2 t^{6}

= 20 - 4 t^{2} + 10 t^{4} - 2 t^{6}

Rewrite in standard form

= - 2 t^{6} + 10 t^{4} - 4 t^{2} + 20

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

\frac{- 2 y ^{3} x + 2 y x ^{3}}{( 1 + y ^{2} x ^{2} ) ^{2}}

What is expand 2[(2+t^4)(5-t^2)] ?
The solution to expand 2[(2+t^4)(5-t^2)] is -2t^6+10t^4-4t^2+20