What is expand sqrt(49-x^2)*sqrt(25-x^2) ?

The solution to expand sqrt(49-x^2)*sqrt(25-x^2) is sqrt(1225-74x^2+x^4)

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expand sqrt(49-x^2)*sqrt(25-x^2)

expand

49 - x^{2} \cdot 25 - x^{2}

1225 - 74 x^{2} + x^{4}

Solution steps

49 - x^{2} 25 - x^{2}

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

- x^{2} + 49 - x^{2} + 25 = (- x^{2} + 49) (- x^{2} + 25)

= (- x^{2} + 49) (- x^{2} + 25)

Expand

(49 - x^{2}) (25 - x^{2}) : 1225 - 74 x^{2} + x^{4}

= 1225 - 74 x^{2} + x^{4}

\frac{( x - 4 ) ^{4} + ( x - 3 ) ^{6} + 10}{( x - 2 ) ( x - 3 )}

(e^{x} + e^{x} x)^{2}

A (8, - 4)

\frac{d}{d x} ((C) (2 x^{2} + \frac{288}{x}))

\frac{p ^{3} - 7 p ^{2} + 10 p + 30}{( p - 3 ) ( p + 1 )}

What is expand sqrt(49-x^2)*sqrt(25-x^2) ?
The solution to expand sqrt(49-x^2)*sqrt(25-x^2) is sqrt(1225-74x^2+x^4)