Which expression is equivalent to (3x - 5)(x - 10)?
(3x - 5)(x - 10)
= 3x^2 - 30x - 5x + 50
= 3x^2 - 35x + 50
To find the expression that is equivalent to the given expression (3x - 5)(x - 10), we will use the distributive property of multiplication over addition or subtraction.
First, let's multiply the two binomials together:
(3x - 5)(x - 10) = 3x * x + 3x * (-10) - 5 * x - 5 * (-10)
Simplifying each term:
= 3x^2 - 30x - 5x + 50
Combine like terms:
= 3x^2 - 35x + 50
Therefore, the expression that is equivalent to (3x - 5)(x - 10) is 3x^2 - 35x + 50.
To find an expression that is equivalent to (3x - 5)(x - 10), we can use the distributive property to expand the expression.
Using the distributive property, we multiply each term in the first parentheses by each term in the second parentheses.
(3x - 5)(x - 10) = 3x(x) + 3x(-10) - 5(x) - 5(-10)
Simplifying further, we have:
= 3x^2 - 30x - 5x + 50
Combining like terms:
= 3x^2 - 35x + 50
Therefore, the expression that is equivalent to (3x - 5)(x - 10) is 3x^2 - 35x + 50.