Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Expand: $(4a+3b+2c)^{2}$

Options:

$16a^{2}-9b^{2}+4c^{2}-24ab+12bc-16ca$

$16a^{2}+9b^{2}+4c^{2}+24ab+12bc+16ca$

$4a^{2}+3b^{2}+2c^{2}+24ab+12bc+16ca$

$16a^{2}+9b^{2}+4c^{2}-24ab-12bc-16ca$

Correct Answer:

$16a^{2}+9b^{2}+4c^{2}+24ab+12bc+16ca$

Explanation:

Expand: $(4a+3b+2c)^{2}$

(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ac)

So, $(4a+3b+2c)^{2}$ = $16a^{2}+9b^{2}+4c^{2}+24ab+12bc+16ca$