Question

Factorise the following experience:4m*2+44m+121

Answer 1

Answer:

Step by Step Solution

More Icon

STEP

1

:

Equation at the end of step 1

(22m2 - 44m) + 121

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 4m2-44m+121

The first term is, 4m2 its coefficient is 4 .

The middle term is, -44m its coefficient is -44 .

The last term, "the constant", is +121

Step-1 : Multiply the coefficient of the first term by the constant 4 • 121 = 484

Step-2 : Find two factors of 484 whose sum equals the coefficient of the middle term, which is -44 .

-484 + -1 = -485

-242 + -2 = -244

-121 + -4 = -125

-44 + -11 = -55

-22 + -22 = -44 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -22 and -22

4m2 - 22m - 22m - 121

Step-4 : Add up the first 2 terms, pulling out like factors :

2m • (2m-11)

Add up the last 2 terms, pulling out common factors :

11 • (2m-11)

Step-5 : Add up the four terms of step 4 :

(2m-11) • (2m-11)

Which is the desired factorization

Multiplying Exponential Expressions:

2.2 Multiply (2m-11) by (2m-11)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (2m-11) and the exponents are :

1 , as (2m-11) is the same number as (2m-11)1

and 1 , as (2m-11) is the same number as (2m-11)1

The product is therefore, (2m-11)(1+1) = (2m-11)2

Final result :

(2m - 11)2

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!PLEASE MARK ME AS BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!PLEASE MARK ME AS BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!PLEASE MARK ME AS BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!PLEASE MARK ME AS BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!PLEASE MARK ME AS BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!PLEASE MARK ME AS BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!PLEASE MARK ME AS BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!