Question

OPTIONS:

1. A,B,C,D

2. A,B,C,D

3.A,B,C,D

(THE ANSWERS I PICKED ARE NOT CORRECT)

Answer 1

You have to combine like terms (terms that have the same variable(x,y....) and power/exponent)²³

(4x³ - 4 + 7x) - (2x³ - x - 8) Distribute -1 into (2x³ - x - 8)

(4x³ - 4 + 7x) + (-)2x³ - (-)x - (-)8 (two negative signs cancel each other out and become positive)

(4x³ - 4 + 7x) - 2x³ + x + 8 Now combine like terms

4x³ - 2x³ + 7x + x - 4 + 8 (I rearranged for the like terms to be next to each other)

2x³ + 8x + 4 It is equivalent to B

`(-3x^2+x^4+x)+(2x^4-7+4x)` Combine like terms

`-3x^2+x^4+2x^4+x+4x-7` (I rearranged for the like terms to be next to each other)

`-3x^2+3x^4+5x-7` It is equivalent to D

(x² - 2x)(2x + 3) Distribute x² into (2x + 3) and distribute -2x into (2x + 3)

(x²)2x + (x²)3 + (-2x)2x + (-2x)3

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together

2x³ + 3x² - 4x² - 6x Combine like terms

2x³ - x² - 6x It is equivalent to A

[Info]

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together. (You can combine the exponents only if they have the same variable)

For example:

`x^(2) (x^3)=x^((2+3))=x^5`

`(y^3)x^2=y^3x^2` (You can't combine them because they have different exponents of y and x)

`(5^2)(5^4)=5^((2+4))=5^6=15,625`