Question

factoring 9x2+6x+1-9y2

Answer 1

Factoring 9x2 - 6x + 1

The first term is, 9x2 its coefficient is 9 .

The middle term is, -6x its coefficient is -6 .

The last term, "the constant", is +1

Step-1 : Multiply the coefficient of the first term by the constant 9 • 1 = 9

Step-2 : Find two factors of 9 whose sum equals the coefficient of the middle term, which is -6 .

-9 + -1 = -10

-3 + -3 = -6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and -3

9x2 - 3x - 3x - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (3x-1)

Add up the last 2 terms, pulling out common factors :

1 • (3x-1)

Step-5 : Add up the four terms of step 4 :

(3x-1) • (3x-1)

Which is the desired factorization

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