Math, asked by curiousstudentstudy, 3 days ago

Factorize by splitting the middle term:- -144d^2+96d+4=0
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Answers

Answered by anindyaadhikari13
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 rohithkrhoypuc1
7

Answer:

\underline{\purple{\ddot{\Maths dude}}}

◇◇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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