What is factor 9n^2+30nd+25d^2 ?

The solution to factor 9n^2+30nd+25d^2 is (5d+3n)^2

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factor 9n^2+30nd+25d^2

factor

9 n^{2} + 30 n d + 25 d^{2}

(5 d + 3 n)^{2}

Solution steps

9 n^{2} + 30 n d + 25 d^{2}

Group by common factors

= 25 d^{2} + 30 d n + 9 n^{2}

Rewrite in the form of

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

25 d^{2} = (5 d)^{2}

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

30 d n = 2 \cdot 5 d \cdot 3 n

= (5 d)^{2} + 2 \cdot 5 d \cdot 3 n + (3 n)^{2}

Apply Perfect Square Formula:

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

(5 d)^{2} + 2 \cdot 5 d \cdot 3 n + (3 n)^{2} = (5 d + 3 n)^{2}

= (5 d + 3 n)^{2}

(x + 4) + 4

106 + 26

27 p^{3} + q^{3}

\frac{sin ( 2 x )}{2 sin ( x )}

3^{0} (3^{- 2})

What is factor 9n^2+30nd+25d^2 ?
The solution to factor 9n^2+30nd+25d^2 is (5d+3n)^2