Question

factorise:- 25a²+20a+4
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Answer 1

Answer: (5a+2)²

Given: The polynomial 25a²+20a+4 is given.

To Find: Factors of the given polynomial.

Step-by-step explanation:

Factorization also known as factoring is the process of breaking a larger polynomial or entity into a product of smaller entities.

We will factorize the given polynomial using the following procedure:

Step 1:

Let x = 25

Let y = 20

Let z = 4

x*z = 100

Step 2:

Now, we have to find the numbers whose product is x*z and sum is equal to y. 10 and 10 are two such numbers.

Step 3:

Now, we will write the polynomial as:

25a²+10a+10a+4

= 5a(5a+2)+2(5a+2)

= (5a+2)²

Step 4 (Alternative Method):

Alternatively, we can compare the polynomial with this expansion formula (x+y)²= x²+y²+2xy

The polynomial is  25a²+20a+4 = (5a)² + 2*5a*2 + 2²

Put, x=5a

y=2

It becomes x²+2xy+y²=(x+y)²=(5a+2)²

To know more about factorization, refer to the links below:

brainly.in/question/4871599

brainly.in/question/20623348

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