What is expand (11k^7m^4+76d^4e^7)(11k^7m^4-76d^4e^7) ?

The solution to expand (11k^7m^4+76d^4e^7)(11k^7m^4-76d^4e^7) is 121k^{14}m^8-5776e^{14}d^8

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expand (11k^7m^4+76d^4e^7)(11k^7m^4-76d^4e^7)

expand

(11 k^{7} m^{4} + 76 d^{4} e^{7}) (11 k^{7} m^{4} - 76 d^{4} e^{7})

121 k^{14} m^{8} - 5776 e^{14} d^{8}

Solution steps

(11 k^{7} m^{4} + 76 d^{4} e^{7}) (11 k^{7} m^{4} - 76 d^{4} e^{7})

= (11 k^{7} m^{4} + 76 e^{7} d^{4}) (11 k^{7} m^{4} - 76 e^{7} d^{4})

Apply Difference of Two Squares Formula:

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

a = 11 k^{7} m^{4}, b = 76 d^{4} e^{7}

= (11 k^{7} m^{4})^{2} - (76 d^{4} e^{7})^{2}

Simplify

(11 k^{7} m^{4})^{2} - (76 d^{4} e^{7})^{2} : 121 k^{14} m^{8} - 5776 e^{14} d^{8}

= 121 k^{14} m^{8} - 5776 e^{14} d^{8}

tan (0)

\frac{2 h ^{3} - 5 h ^{2} + h}{h ^{4} - h ^{2}}

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What is expand (11k^7m^4+76d^4e^7)(11k^7m^4-76d^4e^7) ?
The solution to expand (11k^7m^4+76d^4e^7)(11k^7m^4-76d^4e^7) is 121k^{14}m^8-5776e^{14}d^8