What is (sqrt(y^2+3)-2)(sqrt(y^2+3)+2) ?

The solution to (sqrt(y^2+3)-2)(sqrt(y^2+3)+2) is y^2-1

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simplify (sqrt(y^2+3)-2)(sqrt(y^2+3)+2)

simplify

(y^{2} + 3 - 2) (y^{2} + 3 + 2)

y^{2} - 1

Solution steps

(y^{2} + 3 - 2) (y^{2} + 3 + 2)

Apply Difference of Two Squares

(y^{2} + 3 - 2) (y^{2} + 3 + 2) : y^{2} - 1

= y^{2} - 1

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

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

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

\frac{d x}{( x + 2 ) ( x ^{2} + 2 x + 4 ) ^{2}}

- \frac{1}{( x - 5 ) ^{2}}

What is (sqrt(y^2+3)-2)(sqrt(y^2+3)+2) ?
The solution to (sqrt(y^2+3)-2)(sqrt(y^2+3)+2) is y^2-1