What is (2x+18)^2(2x+4)(x-5)(x-10)^2 ?

The solution to (2x+18)^2(2x+4)(x-5)(x-10)^2 is (x-5)(x-10)^2(2x+4)(2x+18)^2

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simplify (2x+18)^2(2x+4)(x-5)(x-10)^2

simplify

(2 x + 18)^{2} (2 x + 4) (x - 5) (x - 10)^{2}

(x - 5) (x - 10)^{2} (2 x + 4) (2 x + 18)^{2}

Solution steps

(2 x + 18)^{2} (2 x + 4) (x - 5) (x - 10)^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(2 x + 18)^{2} (x - 10)^{2} = ((2 x + 18) (x - 10))^{2}

= ((2 x + 18) (x - 10))^{2} (2 x + 4) (x - 5)

((2 x + 18) (x - 10))^{2} = (2 x + 18)^{2} (x - 10)^{2}

= (2 x + 18)^{2} (x - 10)^{2} (2 x + 4) (x - 5)

\frac{1}{2} (0.75 \cdot 1 0^{- 6}) (5 0^{2})

(- 2)^{6}

(7 m^{5} n^{3}) (8 m n^{6})

What is (2x+18)^2(2x+4)(x-5)(x-10)^2 ?
The solution to (2x+18)^2(2x+4)(x-5)(x-10)^2 is (x-5)(x-10)^2(2x+4)(2x+18)^2