What is (y^2+b)^2-(b+y)(b-y) ?

The solution to (y^2+b)^2-(b+y)(b-y) is y^4+2by^2+y^2

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simplify (y^2+b)^2-(b+y)(b-y)

simplify

(y^{2} + b)^{2} - (b + y) (b - y)

y^{4} + 2 b y^{2} + y^{2}

Solution steps

(y^{2} + b)^{2} - (b + y) (b - y)

Expand

(y^{2} + b)^{2} : y^{4} + 2 b y^{2} + b^{2}

= y^{4} + 2 b y^{2} + b^{2} - (b + y) (b - y)

Expand

- (b + y) (b - y) : - b^{2} + y^{2}

= y^{4} + 2 b y^{2} + b^{2} - b^{2} + y^{2}

Add similar elements:

b^{2} - b^{2} = 0

= y^{4} + 2 b y^{2} + y^{2}

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(- 4 a^{3} b^{2})^{2} \cdot (3 a^{2} b)

\frac{36}{54}

\frac{1}{sin ( θ )} - sin (θ)

What is (y^2+b)^2-(b+y)(b-y) ?
The solution to (y^2+b)^2-(b+y)(b-y) is y^4+2by^2+y^2