What is factor ((6a^2b+12ab^2+6b^2))/((a^2-b^2)) ?

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

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factor ((6a^2b+12ab^2+6b^2))/((a^2-b^2))

factor

\frac{( 6 a ^{2} b + 12 a b ^{2} + 6 b ^{2} )}{( a ^{2} - b ^{2} )}

\frac{6 b ( a ^{2} + 2 ab + b )}{( a + b ) ( a - b )}

Solution steps

\frac{6 a ^{2} b + 12 a b ^{2} + 6 b ^{2}}{a ^{2} - b ^{2}}

Factor

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

= \frac{6 a ^{2} b + 12 a b ^{2} + 6 b ^{2}}{( a + b ) ( a - b )}

Factor

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

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

(a - 4)^{2} - 2 (a - 4)

12 x^{2} - 220 x + 600 = 0

\frac{4 a ^{2} + 3 a + 2}{a ^{3} - 1} - \frac{1 - 2 a}{a ^{2} + a + 1}

5 x + 11 < 6

\frac{3 x - 4}{2} > \frac{6 - 2 x}{3}

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