What is factor 64x^2+48xy+9y^2 ?

The solution to factor 64x^2+48xy+9y^2 is (8x+3y)^2

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factor 64x^2+48xy+9y^2

factor

64 x^{2} + 48 x y + 9 y^{2}

(8 x + 3 y)^{2}

Solution steps

64 x^{2} + 48 x y + 9 y^{2}

Rewrite in the form of

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

64 x^{2} = (8 x)^{2}

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

48 x y = 2 \cdot 8 x \cdot 3 y

= (8 x)^{2} + 2 \cdot 8 x \cdot 3 y + (3 y)^{2}

Apply Perfect Square Formula:

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

(8 x)^{2} + 2 \cdot 8 x \cdot 3 y + (3 y)^{2} = (8 x + 3 y)^{2}

= (8 x + 3 y)^{2}

\frac{( \frac{π}{2} ) ^{2}}{π}

a^{3} + 2 a^{2} + 4 a + 8

\frac{1}{x - 1} + 1

(2 a^{2} b) (- 3 a b^{2})

(26) (32)

What is factor 64x^2+48xy+9y^2 ?
The solution to factor 64x^2+48xy+9y^2 is (8x+3y)^2