What is factor 49x^2+42xy+9y^2 ?

The solution to factor 49x^2+42xy+9y^2 is (7x+3y)^2

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factor 49x^2+42xy+9y^2

factor

49 x^{2} + 42 x y + 9 y^{2}

(7 x + 3 y)^{2}

Solution steps

49 x^{2} + 42 x y + 9 y^{2}

Rewrite in the form of

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

49 x^{2} = (7 x)^{2}

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

42 x y = 2 \cdot 7 x \cdot 3 y

= (7 x)^{2} + 2 \cdot 7 x \cdot 3 y + (3 y)^{2}

Apply Perfect Square Formula:

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

(7 x)^{2} + 2 \cdot 7 x \cdot 3 y + (3 y)^{2} = (7 x + 3 y)^{2}

= (7 x + 3 y)^{2}

(5 + 2 i) (1 + 3 i)

(1 - 2)^{2}

lo g_{3} (12) - lo g_{3} (28) + lo g_{3} (63)

(5 \cdot 3)^{3}

x^{\frac{1}{3}} \cdot x

What is factor 49x^2+42xy+9y^2 ?
The solution to factor 49x^2+42xy+9y^2 is (7x+3y)^2