Mark ( ) against the correct answer: 12x^2 + 60x + 75 = ? - Vidyadip

MCQ

Mark $(\checkmark)$ against the correct answer: $12x^2 + 60x + 75 =\ ?$

A
$(2x + 5)(6x + 5)$
B
$(3x + 5)^2$
✓
$3(2x + 5)^2$
D
None of these

✓

Answer

Correct option: C.

$3(2x + 5)^2$

C. $3(2x + 5)^2$
Solution:
$12x^2+ 60x + 75$
$= 3(4x^2+ 20x + 25)$
$= 3((2x)^2 + 2 \times 2x \times 5 + 5^2)$
$= 3(2x + 5)^2$

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