What is 6x(3x-1)^2+2x^2(1-3x)^2 ?

The solution to 6x(3x-1)^2+2x^2(1-3x)^2 is 18x^4+42x^3-34x^2+6x

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simplify 6x(3x-1)^2+2x^2(1-3x)^2

simplify

6 x (3 x - 1)^{2} + 2 x^{2} (1 - 3 x)^{2}

18 x^{4} + 42 x^{3} - 34 x^{2} + 6 x

Solution steps

6 x (3 x - 1)^{2} + 2 x^{2} (1 - 3 x)^{2}

Expand

6 x (3 x - 1)^{2} : 54 x^{3} - 36 x^{2} + 6 x

= 54 x^{3} - 36 x^{2} + 6 x + 2 x^{2} (1 - 3 x)^{2}

Expand

2 x^{2} (1 - 3 x)^{2} : 2 x^{2} - 12 x^{3} + 18 x^{4}

= 54 x^{3} - 36 x^{2} + 6 x + 2 x^{2} - 12 x^{3} + 18 x^{4}

Group like terms

= 18 x^{4} + 54 x^{3} - 12 x^{3} - 36 x^{2} + 2 x^{2} + 6 x

Add similar elements:

54 x^{3} - 12 x^{3} = 42 x^{3}

= 18 x^{4} + 42 x^{3} - 36 x^{2} + 2 x^{2} + 6 x

Add similar elements:

- 36 x^{2} + 2 x^{2} = - 34 x^{2}

= 18 x^{4} + 42 x^{3} - 34 x^{2} + 6 x

x^{4} - 2 x^{3} + 2 x - 1

\frac{60}{100}

lo g_{10} (a) r i t mi c a

4 x^{2} (2 x - 5)^{2} + 8 x^{2} (2 x - 5)

\frac{6 + a ^{2} + 5 a}{a + 2}

What is 6x(3x-1)^2+2x^2(1-3x)^2 ?
The solution to 6x(3x-1)^2+2x^2(1-3x)^2 is 18x^4+42x^3-34x^2+6x