Question

Simplify the expression to a polynomial in standard form:

(x^2-4x-4)(x^2-2x+2)
Please do a step-by-step so I can do this on my own

Answer 1

first we have to multiply these two given factors.

Explanation:

(x^2-4x-4)×(x^2-2x+2)

we have to multiply individually the each numbers with one another as:

x^2 ×(x^2-2x+2) -4x ×(x^2-2x+2) -4 ×(x^2-2x+2)

☝️ we separated each individual of first factor and multiplied individually with another factor.

=x^4 -2x^3 +2x^2 -4x^3 +8x^2 -8x -4x^2 +8x -8

=x^4 -2x^3-4x^3+2x^2+8x^2-4x^2-8x+8x-8

(we arranged them interms of their power)

=x^4-6x^3+6x^2-8

(Answer)