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Exercise

(x+1)tan⁡2(3x2+6x)sec2(3x2+6x)\left(x+1\right)\tan^2\left(3x^2+6x\right)sec^2\left(3x^2+6x\right)

Step-by-step Solution

1

Multiply the single term tan⁡(3x2+6x)2sec⁡(3x2+6x)2\tan\left(3x^2+6x\right)^2\sec\left(3x^2+6x\right)^2 by each term of the polynomial (x+1)\left(x+1\right)

xtan⁡(3x2+6x)2sec⁡(3x2+6x)2+tan⁡(3x2+6x)2sec⁡(3x2+6x)2x\tan\left(3x^2+6x\right)^2\sec\left(3x^2+6x\right)^2+\tan\left(3x^2+6x\right)^2\sec\left(3x^2+6x\right)^2

Final answer to the exercise

xtan⁡(3x2+6x)2sec⁡(3x2+6x)2+tan⁡(3x2+6x)2sec⁡(3x2+6x)2x\tan\left(3x^2+6x\right)^2\sec\left(3x^2+6x\right)^2+\tan\left(3x^2+6x\right)^2\sec\left(3x^2+6x\right)^2

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(x+1)tan2(3x2+6x)sec2(3x2+6x)
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