Math, asked by soulgamer450, 7 months ago

5. Simplify: (3x2 + 2x - 1) (3x2 – 2x + 1).
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Answers

Answered by subhashmkg667
2

Answer:

The first term is, 3x2 its coefficient is 3 .

The middle term is, -2x its coefficient is -2 .

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

Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3

Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .

-3 + 1 = -2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1

3x2 - 3x + 1x - 1

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

3x • (x-1)

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

1 • (x-1)

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

(3x+1) • (x-1)

Which is the desired factorization

Final result :

(x - 1) • (3x + 1)

Answered by mydreams99312
0

(3×2+2x-1) (3×2-2x+1) =-13

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