Question

Date 11-30-23

Directions: Expand the following expression. Write answers in standard form.
Integrated 2: Chapter 4.1-Expand/Factor Review
1. (3x - 5)(2x + 1)
2. (7x-3)2
3. (4x³+2)(6x²-x+2)
Directions: Factor the following quadratics.
5. x² +8x+12
4. (5x-1)(x+4)(3x-3)
6. x²-64
Period
final

Answer 1

To expand the expression (3x - 5)(2x + 1), multiply the terms in each pair of parentheses together and simplify the resulting expression.

Step-by-step explanation:

To expand the expression (3x - 5)(2x + 1):

1. Multiply the terms in the first pair of parentheses together: 3x * 2x = 6x^2
2. Multiply the terms in the inside pair of parentheses together: 3x * 1 = 3x
3. Multiply the terms in the outside pair of parentheses together: -5 * 2x = -10x
4. Multiply the terms in the last pair of parentheses together: -5 * 1 = -5
5. Combine all the terms: 6x^2 + 3x - 10x - 5
6. Simplify: 6x^2 - 7x - 5

The expanded form of the expression (3x - 5)(2x + 1) is 6x^2 - 7x - 5.