The correct option is B ( 3x+5 ) ( 3x+5 ) Given that; #160; 9x^2 + 30x + 25 =9x^2 +15x + 15x + 25 =3x(3x+5) + 5(3x+5) =(3x+5)(3x+15 ...

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Solving a Quadratic Equation by Factorization Method

9x2+30x+25=

Question

$9 x^{2} + 30 x + 25$ =_____

(3 x + 5) (3 x - 10)

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(3 x + 5) (3 x + 5)

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(3 x + 12) (3 x - 13)

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(9 x + 5) (x + 5)

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Solution

The correct option is B $(3 x + 5) (3 x + 5)$
Given that; $9 x^{2} + 30 x + 25$
$= 9 x^{2} + 15 x + 15 x + 25$
$= 3 x (3 x + 5) + 5 (3 x + 5)$
$= (3 x + 5) (3 x + 15)$
Therefore Option B is correct.

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Similar questions

5 (3 x + 4) - 8 (6 x - 7) = 9 x - 8

2 x - \frac{3 x}{5} = 7

Solve:-

(i) $5 (3 x - 4) - 8 (6 x - 7) = 9 x - 8$

(ii) $2 x - \frac{3 x}{5} = 7$

(iii) $\frac{2 z}{3} - 5 = \frac{3 z}{4} - 1$

(iv) $\frac{4 x}{7} - 12 = 7$

(3 x + 5) (3 x + 10)

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

(3 x + 5) (3 x - 5)

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