Quantitative Aptitude Ques 543

Question: $ 4x^{2}+9y^{2}+16z^{2}+12xy+24yz+16zx $ is equal to

Options:

A) $ {{(2x-3y-4z)}^{2}} $

B) $ {{(2x+3y-4z)}^{2}} $

C) $ {{(2x+3y+4z)}^{2}} $

D) Cannot be determined

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ 4x^{2}+9y^{2}+16z^{2}+12xyz+24yz+16zx $
    $ \Rightarrow $ $ {{(2x)}^{2}}+{{(3y)}^{2}}+{{(4z)}^{2}}+2\cdot 2x\cdot 3y $ $ +,2\cdot 3y\cdot 4z+2\cdot 4z\cdot 2x $
    $ \Rightarrow $ $ {{(2x+3y+4z)}^{2}} $
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