Factor

**princeps** · March 29th 2012, 08:54 AM

Originally Posted by Mhmh96

1#

$(x+3y)(x+2y+1)$

2#

$\frac{(x+ay)(y+ax)}{a}$

**Mhmh96** · March 29th 2012, 08:59 AM

Can you show the steps that lead you to this answer? so i can trace what you did

**Soroban** · March 29th 2012, 12:31 PM

Hello, Mhmh96!

$\text{Factor: }\;x^2 + x + 6y^2 + 3y + 5xy$

We have: . $(x^2 + 5xy + 6y^2) + (x + 3y)$

. . . . . . $=\;(x+3y)(x + 2y) + (x+3y)$

. . . . . . $=\;(x+3y)(x + 2y+1)$

$\text{Factor: }\; x^2 + (a + \tfrac{1}{a})xy + y^2$

$x^2 + (a + \tfrac{1}{a})xy + y^2$

. . $=\; x^2 + axy + \tfrac{1}{a}xy + y^2$

. . $=\;x(x + ay) + \tfrac{1}{a}y(x + ay)$

. . $=\;(x+ay)(x + \tfrac{1}{a}y)$

**Mhmh96** · March 29th 2012, 02:47 PM

Thank you very much,it is very clear now.

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