What is expand (4d+3e^2)(4d-3e^2) ?

The solution to expand (4d+3e^2)(4d-3e^2) is 16d^2-9e^4

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expand (4d+3e^2)(4d-3e^2)

expand

(4 d + 3 e^{2}) (4 d - 3 e^{2})

16 d^{2} - 9 e^{4}

Solution steps

(4 d + 3 e^{2}) (4 d - 3 e^{2})

Apply Difference of Two Squares Formula:

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

a = 4 d, b = 3 e^{2}

= (4 d)^{2} - (3 e^{2})^{2}

Simplify

(4 d)^{2} - (3 e^{2})^{2} : 16 d^{2} - 9 e^{4}

= 16 d^{2} - 9 e^{4}

\frac{x}{( x ^{2} + 16 ) ( x ^{2} + 36 )}

\frac{( x - 2 ) cos ( 2 x )}{2 x}

(6 x^{2} - 9 x) e^{x}

\frac{( x + 1 ) ( x - 1 )}{3 ( x + 5 ) ( x - 5 )}

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

What is expand (4d+3e^2)(4d-3e^2) ?
The solution to expand (4d+3e^2)(4d-3e^2) is 16d^2-9e^4