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

The solution to expand 5(5x^2+3x+2)^2 is 125x^4+150x^3+145x^2+60x+20

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

expand

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

125 x^{4} + 150 x^{3} + 145 x^{2} + 60 x + 20

Solution steps

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

(5 x^{2} + 3 x + 2)^{2} = 25 x^{4} + 30 x^{3} + 29 x^{2} + 12 x + 4

= 5 (25 x^{4} + 30 x^{3} + 29 x^{2} + 12 x + 4)

Distribute parentheses

= 5 \cdot 25 x^{4} + 5 \cdot 30 x^{3} + 5 \cdot 29 x^{2} + 5 \cdot 12 x + 5 \cdot 4

Simplify

5 \cdot 25 x^{4} + 5 \cdot 30 x^{3} + 5 \cdot 29 x^{2} + 5 \cdot 12 x + 5 \cdot 4 : 125 x^{4} + 150 x^{3} + 145 x^{2} + 60 x + 20

= 125 x^{4} + 150 x^{3} + 145 x^{2} + 60 x + 20

- e^{- x} (x + c) + e^{- x} + y

x d y - y d x - (1 - x^{2}) d x

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

(3 - 0, 1 x) x - (50 + 0.06 x)

(x^{2} - 2 y^{2}) d x + x y d y

What is expand 5(5x^2+3x+2)^2 ?
The solution to expand 5(5x^2+3x+2)^2 is 125x^4+150x^3+145x^2+60x+20