What is 2x^2(x^3+3x^2+5x+2)^2 ?

The solution to 2x^2(x^3+3x^2+5x+2)^2 is 2x^2(x^3+3x^2+5x+2)^2

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simplify 2x^2(x^3+3x^2+5x+2)^2

simplify

2 x^{2} (x^{3} + 3 x^{2} + 5 x + 2)^{2}

2 x^{2} (x^{3} + 3 x^{2} + 5 x + 2)^{2}

Solution steps

2 x^{2} (x^{3} + 3 x^{2} + 5 x + 2)^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

x^{2} (x^{3} + 3 x^{2} + 5 x + 2)^{2} = (x (x^{3} + 3 x^{2} + 5 x + 2))^{2}

= 2 (x (x^{3} + 3 x^{2} + 5 x + 2))^{2}

(x (x^{3} + 3 x^{2} + 5 x + 2))^{2} = x^{2} (x^{3} + 3 x^{2} + 5 x + 2)^{2}

= 2 x^{2} (x^{3} + 3 x^{2} + 5 x + 2)^{2}

(8 x^{3}) (4 x y^{3})

(8 q^{6} r^{6} s^{2}) (6 q^{7} rs)

(x + 2)^{2} (x + 3)^{2}

What is 2x^2(x^3+3x^2+5x+2)^2 ?
The solution to 2x^2(x^3+3x^2+5x+2)^2 is 2x^2(x^3+3x^2+5x+2)^2