What is (5sqrt(x)+4sqrt(y))(5sqrt(x)-4sqrt(y)) ?

The solution to (5sqrt(x)+4sqrt(y))(5sqrt(x)-4sqrt(y)) is 25x-16y

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simplify (5sqrt(x)+4sqrt(y))(5sqrt(x)-4sqrt(y))

simplify

(5 x + 4 y) (5 x - 4 y)

25 x - 16 y

Solution steps

(5 x + 4 y) (5 x - 4 y)

Apply Difference of Two Squares

(5 x + 4 y) (5 x - 4 y) : 25 x - 16 y

= 25 x - 16 y

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

\frac{( x - 1 ) ( x + 5 )}{( x - 4 ) ( x + 2 )}

\frac{( s ^{3} + 11 s ^{2} - s + 1 )}{s ( s - 1 ) ( s ^{2} - 36 )}

5 (cos (x) + 3)

x^{\frac{2}{5}} (x - 7)

What is (5sqrt(x)+4sqrt(y))(5sqrt(x)-4sqrt(y)) ?
The solution to (5sqrt(x)+4sqrt(y))(5sqrt(x)-4sqrt(y)) is 25x-16y