Math, asked by lakshyasoni28, 2 months ago

(x²+4) (x²+9) evaluate it using identity

Answers

Answered by daskrrish159
0

Answer:

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Answered by Ashwinraj52
1

Answer: x^4 + 13x^2 + 36

Step-by-step explanation:

(x²+4) (x²+9) = (x^2 + 2^2) (x^2 + 3^2)

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

                    = {(x+2)^2 - 4x} {(x+3)^2 - 6x}

                    = { x^2 + 4 + 2*x*2 - 4x} { x^2 + 9 + 2*x*3 - 6x}

                    = { x^2 + 4 + 4x - 4x } { x^2 + 9 + 6x - 6x }

                    = { x^2 + 4 } { x^2 +9 }

                    =  x^4 + 13x^2 + 36

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