Rewrite the expression 3x(x + 3)
using the Distributive Property
Using the Distributive Property, the given expression can be rewritten as follows:
3x(x + 3) = 3x * x + 3x * 3
Simplifying further:
= 3x^2 + 9x
Use the Distributive Property to rewrite the polynomial (x+8)(x−2)
Using the Distributive Property, we can distribute the terms inside the parentheses to each term in the other parentheses.
(x+8)(x-2) = x(x-2) + 8(x-2)
Simplifying further:
= x^2 - 2x + 8x - 16
= x^2 + 6x - 16
Find the product of the polynomials (2x+1)(x−4)
To find the product of the polynomials (2x+1)(x-4), we can distribute the terms inside the parentheses using the Distributive Property.
(2x+1)(x-4) = 2x(x-4) + 1(x-4)
Simplifying further:
= 2x^2 - 8x + x - 4
Combine like terms:
= 2x^2 - 7x - 4
Therefore, the product of the polynomials (2x+1)(x-4) is 2x^2 - 7x - 4.
According to the Distributive Property, which is a way to rewrite the algebraic expression (3x−1)(x−4)?
3x2+6x+4
3x(−1)+3x(3x)+x(−4)+x(x)
3x2−5x+4
3x(x)+3x(−4)+−1(x)+−1(−4)
According to the Distributive Property, the algebraic expression (3x−1)(x−4) can be rewritten as:
3x(x) + 3x(-4) + (-1)(x) + (-1)(-4)
Simplifying and combining like terms:
3x^2 - 12x - x + 4
Therefore, the correct option is:
3x^2 - 13x + 4
According to the Distributive Property, which is a way to rewrite the algebraic expression (3x−1)(x−4)?
3x^2+6x+4
3x(−1)+3x(3x)+x(−4)+x(x)
3x^2−5x+4
3x(x)+3x(−4)+−1(x)+−1(−4)
The correct way to rewrite the expression (3x - 1)(x - 4) using the Distributive Property is:
3x(x) + 3x(-4) + (-1)(x) + (-1)(-4)
This simplifies to:
3x^2 - 12x - x + 4
So the correct option is:
3x^2 - 13x + 4
What is another way to write the expression 2(x+1)(x+2)?
2x^2+3x+2
2x^2+5x+2
x^2+6x+4
2x^2+6x+2