+0

# How would you do 7x squared + 27xy + 18y squared? I'm so used to the format of x squared + x + ___(insert number here)

0
252
1
+150

How would you do 7x squared + 27xy + 18y squared? I'm so used to the format of x squared + x + ___(insert number here)

Anima  Feb 3, 2015

#1
+91900
+5

I  expect you want me to factorize it?

\$\$\\7x^2+ 27xy + 18y^2\\\$\$

This is a tough one.

We want to find 2 numbers that mult to 7*18  and add to 27

prime factors of 7*18  are  7*3*3*2   I notice straight off that 21+6=27

so the numbers are  21 and 6

change 27xy into    21xy+6xy

\$\$\\7x^2+ 27xy + 18y^2\\
=7x^2+ 21xy +6xy+ 18y^2\\
=7x(x+3y)+6y(x+3y)\\
=(7x+6y)(x+3y)\$\$

Do you understand Anima ?

Melody  Feb 3, 2015
Sort:

#1
+91900
+5

I  expect you want me to factorize it?

\$\$\\7x^2+ 27xy + 18y^2\\\$\$

This is a tough one.

We want to find 2 numbers that mult to 7*18  and add to 27

prime factors of 7*18  are  7*3*3*2   I notice straight off that 21+6=27

so the numbers are  21 and 6

change 27xy into    21xy+6xy

\$\$\\7x^2+ 27xy + 18y^2\\
=7x^2+ 21xy +6xy+ 18y^2\\
=7x(x+3y)+6y(x+3y)\\
=(7x+6y)(x+3y)\$\$

Do you understand Anima ?

Melody  Feb 3, 2015

### 13 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details