What is expand (5e^2-7f^3)(5e^2+7f^3) ?

The solution to expand (5e^2-7f^3)(5e^2+7f^3) is -49f^6+25e^4

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expand (5e^2-7f^3)(5e^2+7f^3)

expand

(5 e^{2} - 7 f^{3}) (5 e^{2} + 7 f^{3})

- 49 f^{6} + 25 e^{4}

Solution steps

(5 e^{2} - 7 f^{3}) (5 e^{2} + 7 f^{3})

Apply Difference of Two Squares Formula:

(a - b) (a + b) = a^{2} - b^{2}

a = 5 e^{2}, b = 7 f^{3}

= (5 e^{2})^{2} - (7 f^{3})^{2}

Simplify

(5 e^{2})^{2} - (7 f^{3})^{2} : - 49 f^{6} + 25 e^{4}

= - 49 f^{6} + 25 e^{4}

\frac{( x + 2 ) ^{2}}{x + 7}

(x^{2} + 1)^{2}

2 x^{2} + (25 - 1) x - 5

\frac{( n + 1 ) ( 2 n + 1 ) ( 2 n + 3 )}{3}

\frac{x ^{n + 1} - ( n + 1 ) x + n}{x - 1}

What is expand (5e^2-7f^3)(5e^2+7f^3) ?
The solution to expand (5e^2-7f^3)(5e^2+7f^3) is -49f^6+25e^4