What is factor 16a^2+24ab+9b^2 ?

The solution to factor 16a^2+24ab+9b^2 is (4a+3b)^2

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factor 16a^2+24ab+9b^2

factor

16 a^{2} + 24 ab + 9 b^{2}

(4 a + 3 b)^{2}

Solution steps

16 a^{2} + 24 ab + 9 b^{2}

Rewrite in the form of

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

16 a^{2} = (4 a)^{2}

9 b^{2} = (3 b)^{2}

24 ab = 2 \cdot 4 a \cdot 3 b

= (4 a)^{2} + 2 \cdot 4 a \cdot 3 b + (3 b)^{2}

Apply Perfect Square Formula:

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

(4 a)^{2} + 2 \cdot 4 a \cdot 3 b + (3 b)^{2} = (4 a + 3 b)^{2}

= (4 a + 3 b)^{2}

(x - 3) (x - 9)

\frac{1}{m - n} + \frac{m}{n ^{2} - m ^{2}}

(2 x + 5 y) + (3 x - 2 y)

\frac{49}{5}

\frac{49}{9}

What is factor 16a^2+24ab+9b^2 ?
The solution to factor 16a^2+24ab+9b^2 is (4a+3b)^2