Math, asked by AwesomeGamer, 9 months ago

Factorize: 4x⁴+8x³+8x²+4x+1 Best Answer will be marked as brainliest!

Answers

Answered by Rohith200422

$\huge\boxed{Answer}$

$\huge\boxed{ {2x}^{2} + 2x + 1}$

4x4+8x3+8x2+4x+1=a2x4+2abx3+2ab2cx2+2bcx+c

Let’s remove all terms that don’t involve b, as they’ll cancel out when a and c are set equal to 2 and 1 respectively.

8x3=2(2)bx3

8x2=2(2)b2(1)x2 // probably a really silly mistake somewhere

4x=2bcx

Now, let’s remove x from both sides of all three equations, since they are indubitably equal.

8=4b

8=4b2 //probably a really silly mistake somewhere.

4=2b

So, two of them point out that the vector <a,b,c>=<2,2,1>

Therefore the function is equal to (2x2+2x+1)2

is equal to 2x2(2x2+2x+1)+2x(2x2+2x+1)+1(2x2+2x+1)

is equal to 4x4+4x3+2x2+4x3+4x2+2x+2x2+2x+1

is equal to 4x4+8x3+8x2+4x+1 .

Therefore the square root of the function is equal to 2x2+2x+1.

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Answered by singhmohit097937

Answer:

$2x {}^{2} + 2x + 1$

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