Math, asked by kiranparikh1980, 1 month ago

Factories:

(a) 81m2

+ 90m + 25​

Answers

Answered by ANSWERPLSS
0

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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Answered by prafulla1971
0

Answer:

+90m +25 = – 65

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