Bendanilloedlynidn
Answered

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4d²+20d-25
pa help po​

Sagot :

Princess118idn

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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