Question

Factorize (x-3)(x-5)(x-7)(x-9)+15

Answer 1

The expanded form of the equation is x^4-24x^3+222x^2-240+960

Expansion of expression

Given the expression below;

(x-3)(x-5)(x-7)(x-9)+15

Expand

(x-3)(x-5)(x-7)(x-9) + 15

(x^2-5x-3x+15)(x^2-9x-7x+63) +15

(x^2-8x+15)(x^2-16x+63) + 15

Expand further to have;

x^4-16x^3+63x^2-8x^3+144x^2-504+15x^2-240x+945+15

x^4-24x^3+222x^2-240+960

Hence the expanded form of the equation is x^4-24x^3+222x^2-240+960

Learn more on expansion here: brainly.com/question/29114
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