What is factor 49x^2+210x+225 ?

The solution to factor 49x^2+210x+225 is (7x+15)^2

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factor 49x^2+210x+225

factor

49 x^{2} + 210 x + 225

(7 x + 15)^{2}

Solution steps

49 x^{2} + 210 x + 225

Rewrite in the form of

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

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

225 = 1 5^{2}

210 x = 2 \cdot 7 x \cdot 15

= (7 x)^{2} + 2 \cdot 7 x \cdot 15 + 1 5^{2}

Apply Perfect Square Formula:

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

(7 x)^{2} + 2 \cdot 7 x \cdot 15 + 1 5^{2} = (7 x + 15)^{2}

= (7 x + 15)^{2}

1 + \frac{16}{9}

8.7 5^{2}

413 \cdot 47

8 lo g_{2} (16)

What is factor 49x^2+210x+225 ?
The solution to factor 49x^2+210x+225 is (7x+15)^2