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Polynomials

Simplify:2 x-...

Question

Simplify:

(2x - x²)(1- 3x²)(5- 2x²)

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Solution

[2x*(1-3x^2) -x^2(1-3x^2)](5-2x^2)
=(2x-6x^3 -x^2+3x^4)(5-2x^2)
= 10x-30x^3 -5x^2+15x^4-4x^3-12x^5-2x^4+6x^6
On grouping similar terms
=10x-5x^2-34x^3+13x^4-12x^5+6x^6

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