What is (a+b)^4+(a-b)^4 ?

The solution to (a+b)^4+(a-b)^4 is 2a^4+12a^2b^2+2b^4

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simplify (a+b)^4+(a-b)^4

simplify

(a + b)^{4} + (a - b)^{4}

2 a^{4} + 12 a^{2} b^{2} + 2 b^{4}

Solution steps

(a + b)^{4} + (a - b)^{4}

(a + b)^{4} : a^{4} + 4 a^{3} b + 6 a^{2} b^{2} + 4 a b^{3} + b^{4}

= a^{4} + 4 a^{3} b + 6 a^{2} b^{2} + 4 a b^{3} + b^{4} + (a - b)^{4}

(a - b)^{4} : a^{4} - 4 a^{3} b + 6 a^{2} b^{2} - 4 a b^{3} + b^{4}

= a^{4} + 4 a^{3} b + 6 a^{2} b^{2} + 4 a b^{3} + b^{4} + a^{4} - 4 a^{3} b + 6 a^{2} b^{2} - 4 a b^{3} + b^{4}

Simplify

a^{4} + 4 a^{3} b + 6 a^{2} b^{2} + 4 a b^{3} + b^{4} + a^{4} - 4 a^{3} b + 6 a^{2} b^{2} - 4 a b^{3} + b^{4} : 2 a^{4} + 12 a^{2} b^{2} + 2 b^{4}

= 2 a^{4} + 12 a^{2} b^{2} + 2 b^{4}

15 x^{2} (5 x^{3} - 6)^{5}

(x - 3) \cdot (x + 5) \cdot (x + 6)

a^{3} - 4 a^{2} + a + 6

14 x^{3} + 18 x^{2} y - 4 y^{3}

(a^{3} \cdot b^{- 5})^{- 2}