q questions algebra

Question

Answer 1

Assuming you're being asked to expand from factored form, so it's just the distributive property (in 2 steps).

Part I is to expand the 1st 2 factors: (x - 3)(x - 1) becomes x² - 3x - 1x + 3 which simplifies to x² - 4x + 3

Part II is to multiply the trinomial (from Part I) by (x + 2):

So, (x + 2)(x² - 4x + 3) >> distribute x term of binomial >> x³ - 4x² + 3x

Then, distribute the 2 across the trinomial as with x >> 2x² - 8x + 6

Add like terms: x³ - 2x² - 5x + 6

Hope this helps.