What is expand (6bd-7ef)(6bd+7ef) ?

The solution to expand (6bd-7ef)(6bd+7ef) is 36b^2d^2-49e^2f^2

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expand (6bd-7ef)(6bd+7ef)

expand

(6 b d - 7 e f) (6 b d + 7 e f)

36 b^{2} d^{2} - 49 e^{2} f^{2}

Solution steps

(6 b d - 7 e f) (6 b d + 7 e f)

Apply Difference of Two Squares Formula:

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

a = 6 b d, b = 7 e f

= (6 b d)^{2} - (7 e f)^{2}

Simplify

(6 b d)^{2} - (7 e f)^{2} : 36 b^{2} d^{2} - 49 e^{2} f^{2}

= 36 b^{2} d^{2} - 49 e^{2} f^{2}

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2 cos (2) (θ - \frac{π}{4}) + 1

What is expand (6bd-7ef)(6bd+7ef) ?
The solution to expand (6bd-7ef)(6bd+7ef) is 36b^2d^2-49e^2f^2