Question

Factorize the expression using identities
25p^2-49p^2

Answer 1

here's the answer for u :
-24 p^2

Answer 2

The first term is, 25p2 its coefficient is 25 .
The middle term is, -49p its coefficient is -49 .
The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 25 • -2 = -50

Step-2 : Find two factors of -50 whose sum equals the coefficient of the middle term, which is -49 .

-50 + 1 = -49 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -50 and 1
25p2 - 50p + 1p - 2

Step-4 : Add up the first 2 terms, pulling out like factors :
25p • (p-2)
Add up the last 2 terms, pulling out common factors :
1 • (p-2)
Step-5 : Add up the four terms of step 4 :
(25p+1) • (p-2)
Which is the desired factorization

Final result :

(p - 2) • (25p + 1)



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