Factorize by splitting the middle term:- -144d^2+96d+4=0
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Answers
Answered by
27
Correct Question:
- Factorise by splitting the middle term – 144d² + 48d + 4.
Solution:
Given,
= 144d² + 48d + 4
= 4(36d² + 12d + 1)
By splitting the middle term, we get,
= 4[36d² + (6 + 6)d + 1]
= 4[36d² + 6d + 6d + 1]
= 4[6d(6d + 1) + 1(6d + 1)]
= 4(6d + 1)(6d + 1)
= 4(6d + 1)²
Which is our required answer.
Answer:
- Factorised form – 4(6d + 1)²
Steps To Solve:
The general form of a quadratic polynomial is - ax² + bx + c.
We have to split b into two parts whose product is ac and sum is b.
Then, we can easily factorise the polynomial by by grouping.
anindyaadhikari13:
Thanks for the brainliest ^_^
Answered by
7
Answer:
◇◇Perfect question :-
- Factorise by splitting the middle term
-144d^2+96d+4=0.
◇◇Given:-
- The term -144d^2+96d+4=0
◇◇To prove :-
- The factorise by splitting the terms
◇◇Explanation ;-
- We can write it as
=4 (36d^2+12d+1)
♧Now splitting the middle term:-
- =4 (36d^2+(6+6)d+1)
- =4 (36d^2+6d+6d
- =4 (6d (6d+1)+1 (6d+1))
- =4 ((6d+1) (6d+1))
- =4 (6d+1)^2.
☆☆Hope it helps u mate .
☆☆Thank you .
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