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
Combining like terms:
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^2-5x+4
3x(x)+3x(-4)+-1(x)+-1(-4)
3x(-1)+3x(3x)+x(-4)+x(x)
9 answers
Use the Distributive Property to find which expression is equivalent to 9x^2-25
9x(x-25)
(3x+5)(3x-5)
(3x+5)^2
(4.5x+12.5)(4.5x-12.5)
9x(x-25)
(3x+5)(3x-5)
(3x+5)^2
(4.5x+12.5)(4.5x-12.5)
To rewrite the expression 9x^2 - 25 using the Distributive Property, we need to find an expression that factors the given expression into two terms.
The expression equivalent to 9x^2 - 25 using the Distributive Property is (3x+5)(3x-5).
The expression equivalent to 9x^2 - 25 using the Distributive Property is (3x+5)(3x-5).
Use the Distributive Property to verify which expression is equivalent to (x-5)(x-3)
x^2-2x+15
x^2-8x+15
3x^2-4x^2-3x-15
2x-2
x^2-2x+15
x^2-8x+15
3x^2-4x^2-3x-15
2x-2
To verify which expression is equivalent to (x-5)(x-3) using the Distributive Property, we can expand the given expression by multiplying each term from the first factor (x-5) by each term from the second factor (x-3).
(x-5)(x-3) = x(x) + x(-3) + (-5)(x) + (-5)(-3)
= x^2 - 3x - 5x + 15
= x^2 - 8x + 15
Therefore, the expression equivalent to (x-5)(x-3) using the Distributive Property is x^2 - 8x + 15.
(x-5)(x-3) = x(x) + x(-3) + (-5)(x) + (-5)(-3)
= x^2 - 3x - 5x + 15
= x^2 - 8x + 15
Therefore, the expression equivalent to (x-5)(x-3) using the Distributive Property is x^2 - 8x + 15.
Which expression is equivalent to (z+4)(z-4)
z^2+4z-4z-16
z^2-8z-16
z(z)+4z(z)-4(4)
2z^2-z^2-8
z^2+4z-4z-16
z^2-8z-16
z(z)+4z(z)-4(4)
2z^2-z^2-8
The expression equivalent to (z+4)(z-4) using the Distributive Property is:
(z+4)(z-4) = z(z) + z(-4) + 4(z) + 4(-4)
= z^2 - 4z + 4z - 16
= z^2 - 16
Therefore, the expression equivalent to (z+4)(z-4) is z^2 - 16.
(z+4)(z-4) = z(z) + z(-4) + 4(z) + 4(-4)
= z^2 - 4z + 4z - 16
= z^2 - 16
Therefore, the expression equivalent to (z+4)(z-4) is z^2 - 16.
What is another way to write the expression 2(x+1)(x+2)
2x^2+5x+2
x^2+6x+2
2x^2+3x+2
2x^2+6x+4
2x^2+5x+2
x^2+6x+2
2x^2+3x+2
2x^2+6x+4
Another way to write the expression 2(x+1)(x+2) is:
2x(x) + 2x(2) + 1(x) + 1(2)
This simplifies to:
2x^2 + 4x + x + 2
Combining like terms:
2x^2 + 5x + 2
Therefore, the correct expression is 2x^2 + 5x + 2.
2x(x) + 2x(2) + 1(x) + 1(2)
This simplifies to:
2x^2 + 4x + x + 2
Combining like terms:
2x^2 + 5x + 2
Therefore, the correct expression is 2x^2 + 5x + 2.