MCQ
$4 a^2+b^2+4 a b+8 a+4 b+4=?$
- ✓$(2 a+b+2)^2$
- B$(2 a-b+2)^2$
- C$(a+2 b+2)^2$
- DNone of these
✓
Answer
Correct option: A.
$(2 a+b+2)^2$
$4 a^2+b^2+4 a b+8 a+4 b+4$
$=4 a^2+b^2+4+4 a b+4 b+8 a$
$=(2 a)^2+b^2+2^2+2 \times 2 a \times b+2 \times b \times 2+2 \times 2 a \times 2$
$=(2 a+b+2)^2$
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