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Sagot :
Answer:
(2d - 5)2
Step-by-step explanation: (22d2 - 20d) + 25
STEP2 : Trying to factor by splitting the middle term
2.1 Factoring 4d2-20d+25
The first term is, 4d2 its coefficient is 4 .
The middle term is, -20d its coefficient is -20 .
The last term, "the constant", is +25
Step-1 : Multiply the coefficient of the first term by the constant 4 • 25 = 100
Step-2 : Find two factors of 100 whose sum equals the coefficient of the middle term, which is -20 .
-100 + -1 = -101
-50 + -2 = -52
-25 + -4 = -29
-20 + -5 = -25
-10 + -10 = -20 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and -10
4d2 - 10d - 10d - 25
Step-4 : Add up the first 2 terms, pulling out like factors :
2d • (2d-5)
Add up the last 2 terms, pulling out common factors :
5 • (2d-5)
Step-5 : Add up the four terms of step 4 :
(2d-5) • (2d-5)
Which is the desired factorization
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