Expand the expression 2x^2-(1+sin(x))^4

 Exercise

$\left(2\cdot x^2-\left(1+sin\left(x\right)\right)^4\right)$

 

Expand the binomial $\left(1+\sin\left(x\right)\right)^4$

$2x^2-\left(1+4\sin\left(x\right)+6\sin\left(x\right)^2+4\sin\left(x\right)^3+\sin\left(x\right)^4\right)$

 

Simplify the product $-(1+4\sin\left(x\right)+6\sin\left(x\right)^2+4\sin\left(x\right)^3+\sin\left(x\right)^4)$

$2x^2-1-\left(4\sin\left(x\right)+6\sin\left(x\right)^2+4\sin\left(x\right)^3+\sin\left(x\right)^4\right)$

 

Simplify the product $-(4\sin\left(x\right)+6\sin\left(x\right)^2+4\sin\left(x\right)^3+\sin\left(x\right)^4)$

$2x^2-1-4\sin\left(x\right)-\left(6\sin\left(x\right)^2+4\sin\left(x\right)^3+\sin\left(x\right)^4\right)$

 

Simplify the product $-(6\sin\left(x\right)^2+4\sin\left(x\right)^3+\sin\left(x\right)^4)$

$2x^2-1-4\sin\left(x\right)-6\sin\left(x\right)^2-\left(4\sin\left(x\right)^3+\sin\left(x\right)^4\right)$

 

Simplify the product $-(4\sin\left(x\right)^3+\sin\left(x\right)^4)$

$2x^2-1-4\sin\left(x\right)-6\sin\left(x\right)^2-4\sin\left(x\right)^3-\sin\left(x\right)^4$

$2x^2-1-4\sin\left(x\right)-6\sin\left(x\right)^2-4\sin\left(x\right)^3-\sin\left(x\right)^4$

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