What is ([[6x^2+(4x^2-2)]*x^2])/6 ?

The solution to ([[6x^2+(4x^2-2)]*x^2])/6 is ((5x^2-1)x^2)/3

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simplify ([[6x^2+(4x^2-2)]*x^2])/6

simplify

\frac{[ [ 6 x ^{2} + ( 4 x ^{2} - 2 ) ] \cdot x ^{2} ]}{6}

\frac{( 5 x ^{2} - 1 ) x ^{2}}{3}

Solution steps

\frac{( 6 x ^{2} + ( 4 x ^{2} - 2 ) ) x ^{2}}{6}

Apply rule:

a + (b + c) = a + b + c

6 x^{2} + (4 x^{2} - 2) = 6 x^{2} + 4 x^{2} - 2

= \frac{( 6 x ^{2} + 4 x ^{2} - 2 ) x ^{2}}{6}

Factor

6 x^{2} + 4 x^{2} - 2 : 2 (5 x^{2} - 1)

= \frac{2 ( 5 x ^{2} - 1 ) x ^{2}}{6}

Factor the number:

6 = 2 \cdot 3

= \frac{2 ( 5 x ^{2} - 1 ) x ^{2}}{2 \cdot 3}

Cancel the common factor:

2

= \frac{( 5 x ^{2} - 1 ) x ^{2}}{3}

\frac{x + 3}{x + 4}

- 15 x^{2} - 25 b^{2}

x + 1^{- 1}

\frac{( \frac{27}{y ^{3}} ) ^{- 1}}{3}

(\frac{5 - 1}{2 x}) 3

What is ([[6x^2+(4x^2-2)]*x^2])/6 ?
The solution to ([[6x^2+(4x^2-2)]*x^2])/6 is ((5x^2-1)x^2)/3