What is factor 49d^2+154d+121 ?

The solution to factor 49d^2+154d+121 is (7d+11)^2

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factor 49d^2+154d+121

factor

49 d^{2} + 154 d + 121

(7 d + 11)^{2}

Solution steps

49 d^{2} + 154 d + 121

Rewrite in the form of

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

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

121 = 1 1^{2}

154 d = 2 \cdot 7 d \cdot 11

= (7 d)^{2} + 2 \cdot 7 d \cdot 11 + 1 1^{2}

Apply Perfect Square Formula:

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

(7 d)^{2} + 2 \cdot 7 d \cdot 11 + 1 1^{2} = (7 d + 11)^{2}

= (7 d + 11)^{2}

9^{4}

49 - 100 x^{2}

20 \times \frac{1}{2}

6 x^{2} + 13 x - 15

\frac{x ^{2} - 3 x - 40}{x ^{2} - 11 x + 24}

What is factor 49d^2+154d+121 ?
The solution to factor 49d^2+154d+121 is (7d+11)^2