What is expand (8hk+5ef)(8hk-5ef) ?

The solution to expand (8hk+5ef)(8hk-5ef) is 64k^2h^2-25e^2f^2

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expand (8hk+5ef)(8hk-5ef)

expand

(8 hk + 5 e f) (8 hk - 5 e f)

64 k^{2} h^{2} - 25 e^{2} f^{2}

Solution steps

(8 hk + 5 e f) (8 hk - 5 e f)

= (8 kh + 5 e f) (8 kh - 5 e f)

Apply Difference of Two Squares Formula:

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

a = 8 hk, b = 5 e f

= (8 hk)^{2} - (5 e f)^{2}

Simplify

(8 hk)^{2} - (5 e f)^{2} : 64 k^{2} h^{2} - 25 e^{2} f^{2}

= 64 k^{2} h^{2} - 25 e^{2} f^{2}

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(e^{2 x} - 4)^{2}

What is expand (8hk+5ef)(8hk-5ef) ?
The solution to expand (8hk+5ef)(8hk-5ef) is 64k^2h^2-25e^2f^2