Simplify

Algebra Level 2

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x + 3y (x^2 + 3y)(x + 1) + 4(x^2)y Wrong Question ! y + 3x

1 solution

Anubhav Sharma
Apr 21, 2014

It is hard to factorize the numerator as there are altogether 5 terms.

So, we have to break a term to obtain 6 terms and becomes easy to factorize.

Let' s take 4 $x^{2}$ y and break it to 3 $x^{2}$ y + $x^{2}$ y

Now, we have

$x^{3}$ y + x + $x^{2}$ y + 3 $x^{2}$ y + 3 $y^{2}$ x + 3y

as our numerator.

After factorizing we will get

( x + 3y)( $x^{2}$ + 1 + xy)

Then you can easily cancel ( $x^{2}$ + 1 + xy) from numerator and denominator which leaves us $\boxed{(x + 3y)}$ as our final answer.

Just multiply the denominator with the given options. If you get the numerator, the option is correct. :)

Srivardhan Kaushik - 7 years, 1 month ago

t is hard to factorize the numerator as there are altogether 5 terms.

So, we have to break a term to obtain 6 terms and becomes easy to factorize.

Let' s take 4y and break it to 3y + y

Now, we have

y + x + y + 3y + 3x + 3y

as our numerator.

After factorizing we will get

( x + 3y)( + 1 + xy)

Then you can easily cancel ( + 1 + xy) from numerator and denominator which leaves us as

Shiwang Srivastava - 7 years, 1 month ago