Equation Simplification

**gearshifter** · September 18th 2008, 10:03 AM

4x^2-9
(2x^3)+(3x^2)+8x+12

Anyone know how to simplify this equation?

**11rdc11** · September 18th 2008, 10:11 AM

Does it look like this?

$\frac{4x^2-9}{2x^3} +3x^2 + 8x + 12$

**gearshifter** · September 18th 2008, 10:13 AM

4x^2-9_____________
2x^3+3x^2+8x+12

oh sorry, the top is over everything

**Moo** · September 18th 2008, 10:20 AM

Hello,

Originally Posted by gearshifter

4x^2-9_____________
2x^3+3x^2+8x+12

oh sorry, the top is over everything

Note that $4x^2-9=(2x)^2-3^2$ . This is the difference of two squares. (the formula is $a^2-b^2=(a-b)(a+b)$

For the denominator, I'm sorry to say it's just a eyeballing...

$2x^3+3x^2+8x+12={\color{red}2}x^3+{\color{blue}3}x ^2+{\color{red}2}\cdot 4x+{\color{blue}3} \cdot 4$ )

Now, you can see some interesting things. If not yet, group the terms with a common factor.

$=2(x^3+4x)+3(x^2+4)$

Factor x in the first term :

$=2x(x^2+4)+3(x^2+4)$

Do you see it ? The factorisation of the denominator ?

Thread: Equation Simplification

LinkBack

Thread Tools

Display

Equation Simplification

Similar Math Help Forum Discussions

Help with simplification

Simplification

differential equation (checking a simplification)

yet another log simplification

simplification

Search Tags