Math, asked by sunitagulia752, 5 months ago

factrize x²+6x+8 by completing the squares​

Answers

Answered by anindyaadhikari13
32

\star\:\:\bf\large\underline\blue{Question:-}

  • Factorise  {x}^{2}  + 6x + 8 by completing the square method.

\star\:\:\bf\large\underline\blue{Solution:-}

 {x}^{2}  + 6x + 8

 =  {(x)}^{2}  + 2 \times (x) \times (3) +  {(3)}^{2}  -  {(3)}^{2}  + 8

 =  {(x + 3)}^{2}  - 9 + 8

 =  {(x + 3)}^{2}  - 1

 =  {(x + 3)}^{2}  -  {(1)}^{2}

 = (x + 3 + 1)(x + 3 -  1)

 = (x + 4)(x  + 2)

\star\:\:\bf\large\underline\blue{Answer:-}

  • (x + 4)(x + 2)
Answered by bhabyapathak666
0

Answer:

=x^2+4x+2x+8

=x(x+4)+2(x+4)

=(x+4)(x+2)

=>x=-4,-2

Step-by-step explanation:

hope It will help you

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