4d(2d - 9)
Expanding the expression:
4d(2d - 9) = 8d^2 - 36d
(3x + 4)(x - 2)
Expanding the expression using the distributive property:
(3x + 4)(x - 2) = 3x * x + 3x * (-2) + 4 * x + 4 * (-2)
= 3x^2 - 6x + 4x - 8
= 3x^2 - 2x - 8
(2y - 1)(4y - 3)
Expanding the expression using the distributive property:
(2y - 1)(4y - 3) = 2y * 4y + 2y * (-3) - 1 * 4y - 1 * (-3)
= 8y^2 - 6y - 4y + 3
= 8y^2 - 10y + 3
To simplify the expression 4d(2d - 9), you need to apply the distributive property. This property states that when you have a number or a term outside of a parentheses and you multiply it by an expression inside the parentheses, you need to distribute or multiply the term by each term inside the parentheses.
So, let's apply the distributive property to the given expression:
4d(2d - 9)
First, multiply 4d by 2d:
4d * 2d = 8d^2
Next, multiply 4d by -9:
4d * -9 = -36d
So, the simplified expression is:
8d^2 - 36d