What is (x+5)^2(x+2)^2x(x-2) ?

The solution to (x+5)^2(x+2)^2x(x-2) is x(x+5)^2(x+2)^2(x-2)

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simplify (x+5)^2(x+2)^2x(x-2)

simplify

(x + 5)^{2} (x + 2)^{2} x (x - 2)

x (x + 5)^{2} (x + 2)^{2} (x - 2)

Solution steps

(x + 5)^{2} (x + 2)^{2} x (x - 2)

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

(x + 5)^{2} (x + 2)^{2} = ((x + 5) (x + 2))^{2}

= x ((x + 5) (x + 2))^{2} (x - 2)

((x + 5) (x + 2))^{2} = (x + 5)^{2} (x + 2)^{2}

= x (x + 5)^{2} (x + 2)^{2} (x - 2)

(4 a^{6}) (6 a^{4}) (5 a^{5})

4 w^{3} (5 w^{2})

- n (x + 2)^{(2)} (x - 1), 3

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

What is (x+5)^2(x+2)^2x(x-2) ?
The solution to (x+5)^2(x+2)^2x(x-2) is x(x+5)^2(x+2)^2(x-2)