What is factor x^2+6xy+9y^2-16 ?

The solution to factor x^2+6xy+9y^2-16 is (x+3y+4)(x+3y-4)

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factor x^2+6xy+9y^2-16

factor

x^{2} + 6 x y + 9 y^{2} - 16

(x + 3 y + 4) (x + 3 y - 4)

Solution steps

x^{2} + 6 x y + 9 y^{2} - 16

Factor

x^{2} + 6 x y + 9 y^{2} : (x + 3 y)^{2}

= (x + 3 y)^{2} - 16

Factor the number:

16 = 4^{2}

= (x + 3 y)^{2} - 4^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(x + 3 y)^{2} - 4^{2} = ((x + 3 y) + 4) ((x + 3 y) - 4)

= ((x + 3 y) + 4) ((x + 3 y) - 4)

Remove parentheses:

(a) = a

= (x + 3 y + 4) (x + 3 y - 4)

(0 - 3)^{2} + (y + 5)^{2} = 16

∣ 2 x - 3 ∣ \leq 5

x^{2} + a^{2} + 2 a x

13 - 6 n = - 77

9 x^{2} + 6 x + 12 x + 8

What is factor x^2+6xy+9y^2-16 ?
The solution to factor x^2+6xy+9y^2-16 is (x+3y+4)(x+3y-4)