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