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

The solution to ((3x+1)^2+3(x-1)^2)/(3x^2+1) is 4

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

simplify

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

4

Solution steps

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

Expand

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

= \frac{12 x ^{2} + 4}{3 x ^{2} + 1}

Factor

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

= \frac{4 ( 3 x ^{2} + 1 )}{3 x ^{2} + 1}

Cancel the common factor:

3 x^{2} + 1

= 4

64 x^{10} y^{16}

7 x^{2} - x^{2}

(a - b) 3

(3 x + 2) 2

\frac{25000}{4 π \cdot ( 7.5 \cdot 1 0 ^{- 3} ) ^{2}}

What is ((3x+1)^2+3(x-1)^2)/(3x^2+1) ?
The solution to ((3x+1)^2+3(x-1)^2)/(3x^2+1) is 4