Factories:
(a) 81m2
+ 90m + 25
Answers
Step by Step Solution

Reformatting the input :
Changes made to your input should not affect the solution:
(1): "m2" was replaced by "m^2".
STEP1:Equation at the end of step 1
(34m2 - 90m) + 25
STEP2:Trying to factor by splitting the middle term
2.1 Factoring 81m2-90m+25
The first term is, 81m2 its coefficient is 81 .
The middle term is, -90m its coefficient is -90 .
The last term, "the constant", is +25
Step-1 : Multiply the coefficient of the first term by the constant 81 • 25 = 2025
Step-2 : Find two factors of 2025 whose sum equals the coefficient of the middle term, which is -90 .
-2025 + -1 = -2026 -675 + -3 = -678 -405 + -5 = -410 -225 + -9 = -234 -135 + -15 = -150 -81 + -25 = -106 -75 + -27 = -102 -45 + -45 = -90 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -45 and -45
81m2 - 45m - 45m - 25
Step-4 : Add up the first 2 terms, pulling out like factors :
9m • (9m-5)
Add up the last 2 terms, pulling out common factors :
5 • (9m-5)
Step-5 : Add up the four terms of step 4 :
(9m-5) • (9m-5)
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Answer:
+90m +25 = – 65
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