How do you factor the expression 25y252y+27?

2 Answers
May 21, 2018

(25y27)(y1)

Explanation:

We need to find the factors that when multiplied it gives 675 (25×27) and when added it gives 52.

Multiplying:
675 = 3×3×3×5×5 = 27×25

Adding:
52 = 2725
Hence, 27×25=675

So the factors are: 27 and 25

25y252y+27

25y225y27y+27

25y(y1)27(y1)

(25y27)(y1)

Check the answer:
(25y27)(y1)
(25y×y)25y27y+27
25y252y+27

May 21, 2018

25y252y+27=(y1)(25y27)

Explanation:

Given:

25y252y+27

Note that 2552+27=0

Hence y=1 is a zero and (y1) a factor.

The leading term of the other factor must be 25y to get 25y2 in the product and the trailing term must be 27 in order to get +27 in the product.

So we find:

25y252y+27=(y1)(25y27)