find the product of (4x-7) and (2x-8) using the distributive property of multiplication
4x(2x-8) - 7(2x-8)
8x^2 - 32x - 14x + 56
To find the product of (4x-7) and (2x-8) using the distributive property, follow these steps:
Step 1: Multiply the first term of the first expression (4x) by each term in the second expression (2x and -8):
(4x)*(2x) = 8x^2
(4x)*(-8) = -32x
Step 2: Multiply the second term of the first expression (-7) by each term in the second expression (2x and -8):
(-7)*(2x) = -14x
(-7)*(-8) = 56
Step 3: Combine the results from step 1 and step 2 to find the final product:
8x^2 - 32x - 14x + 56
Step 4: Simplify the expression from step 3:
8x^2 - 46x + 56
Therefore, the product of (4x-7) and (2x-8) using the distributive property is 8x^2 - 46x + 56.