Math, asked by niral241079, 9 months ago

D
OVA
Que.4 Factorize
(16) 9x2 + 3x +1÷4​

Answers

Answered by nk7003361
0

Answer:

hiiiii mate.

9x^2. + 3x. + 1 ÷ 4

on LCM

36x^2. +. 12x. + 1 / 4

36x^2. + 6x. + 6x. + 1 / 4

6x ( 6x + 1 ). + 1( 6x + 1) / 4

(6x + 1). ( 6x + 1 ) / 4

i think that helps u thanks

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Answered by Anonymous
29

Answer:

{\sf{ \left( {\dfrac{1}{4}} \right) (6x + 1)(6x + 1) }}

Step-by-step explanation:

Given : {\sf{\ \ 9x^2 + 3x + {\dfrac{1}{4}} }}

{\sf{\bullet \ On \ further \ solving, \ we \ get }}

\implies{\sf{{\dfrac{9x^2(4) + 3x(4) + 1}{4}} }}

\implies{\sf{{\dfrac{36x^2 + 12x + 1}{4}}}}

\implies{\sf{ {\dfrac{1}{4}} [ 36x^2 + 12x + 1] }}

{\sf{\bullet \ Using \ Middle \ Term \ Factorisation}}

\implies{\sf{ {\dfrac{1}{4}} [ 36x^2 + 6x + 6x + 1 ] }}

{\sf{\bullet \ Taking \ common \ terms \ out.}}

\implies{\sf{ {\dfrac{1}{4}} [ 6x(6x + 1) + 1(6x + 1) ] }}

\implies{\sf{ {\dfrac{1}{4}} [ (6x + 1)(6x + 1) ] }}

\implies{\boxed{\boxed{\red{\tt{ \left( {\dfrac{1}{4}} \right) (6x + 1)(6x + 1) }}}}}

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