What is expand (5d+8e)(5d-8e) ?

The solution to expand (5d+8e)(5d-8e) is 25d^2-64e^2

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expand (5d+8e)(5d-8e)

expand

(5 d + 8 e) (5 d - 8 e)

25 d^{2} - 64 e^{2}

Solution steps

(5 d + 8 e) (5 d - 8 e)

Apply Difference of Two Squares Formula:

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

a = 5 d, b = 8 e

= (5 d)^{2} - (8 e)^{2}

Simplify

(5 d)^{2} - (8 e)^{2} : 25 d^{2} - 64 e^{2}

= 25 d^{2} - 64 e^{2}

(a + bi)^{2}

(- 2 + i)^{4}

(x + Δ x)^{3}

(1 + 2 i)^{4}

(x + Δ x)^{2}

What is expand (5d+8e)(5d-8e) ?
The solution to expand (5d+8e)(5d-8e) is 25d^2-64e^2