i need help on simplifying these and then classifying result by number of terms

**racerfreak05** · January 6th 2009, 07:04 PM

(2c^2+9)-(3c^2-7)

**Mush** · January 6th 2009, 07:24 PM

Originally Posted by racerfreak05

(2c^2+9)-(3c^2-7)

$(2c^2+9)-(3c^2-7)$

Multiply through the 2nd bracketed term by the negative!

$(2c^2+9)-3c^2-(-7)$

$2c^2+9-3c^2+7$

Collect like terms:

$-c^2+16$

Change the order so the positive term is first!

$16-c^2$

Recognise that this is a difference of two squares since $16 = 4^2$ :

$4^2-c^2$

$(4-c)(4+c)$

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