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
[tex](-3x^2+x^4+x)+(2x^4-7+4x)[/tex] Combine like terms
[tex]-3x^2+x^4+2x^4+x+4x-7[/tex] (I rearranged for the like terms to be next to each other)
[tex]-3x^2+3x^4+5x-7[/tex] 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:
[tex]x^{2} (x^3)=x^{(2+3)}=x^5[/tex]
[tex](y^3)x^2=y^3x^2[/tex] (You can't combine them because they have different exponents of y and x)
[tex](5^2)(5^4)=5^{(2+4)}=5^6=15,625[/tex]
