High School

Q1: Factor by grouping: [tex]8x - 8 - x^2 + x^3[/tex]. Type your answer in standard form with no extra spaces. Binomials are accepted both ways.

Q2: Factor the following expression. Type your answer with no extra spaces. It will be accepted both ways: [tex]35x^2 - 2x - 48[/tex].

Q3: Simplify the following: [tex]2x^5 + 4x^5[/tex].

Answer :

The solutions to the equations by factoring are as follows:

1) (x² + 8)(x - 1)

2) 3x² - 2x - 48

3) 6x⁵

How to factor the expression?

1) The given expression can be factored by grouping as follows:

8x - 8 - x² + x³

= (8x - 8) + (x³ - x²)

= 8(x - 1) + x²(x - 1)

= (x² + 8)(x - 1)

2) The quadratic function is given as:

3x² - 2x - 48

This cannot be simplified further as it is already in the simplest form.

3) The equation is given as;

2x⁵ + 4x⁵

= 6x⁵

Read more about factoring expression at: https://brainly.com/question/25829061

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