What is factor 6a^2+12ab+6b^2 ?

The solution to factor 6a^2+12ab+6b^2 is 6(a+b)^2

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factor 6a^2+12ab+6b^2

factor

6 a^{2} + 12 ab + 6 b^{2}

6 (a + b)^{2}

Solution steps

6 a^{2} + 12 ab + 6 b^{2}

Factor out common term

6 : 6 (a^{2} + 2 ab + b^{2})

= 6 (a^{2} + 2 ab + b^{2})

Factor

a^{2} + 2 ab + b^{2} : (a + b) (a + b)

= 6 (a + b) (a + b)

Apply exponent rule:

aa = a^{2}

(a + b) (a + b) = (a + b)^{2}

= 6 (a + b)^{2}

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

2 x^{2} + 7 x - 4

\frac{3 t}{2 - x} + \frac{5}{x - 2}

\frac{( y + 1 ) ^{5}}{( y + 1 ) ^{2}}

125

What is factor 6a^2+12ab+6b^2 ?
The solution to factor 6a^2+12ab+6b^2 is 6(a+b)^2