write an expression equivalent to $4(2d + 10 - 5d)$.\n$4(2d + 10 - 5d)=?d +?$
write an expression equivalent to $4(2d + 10 - 5d)$.\n$4(2d + 10 - 5d)=?d +?$
Answer
Explanation:
Step1: Combine like terms inside the parentheses
First, combine the (d) terms: (2d-5d=-3d). So the expression becomes (4(-3d + 10)).
Step2: Apply the distributive property
Multiply each term inside the parentheses by (4). Using the distributive property (a(b + c)=ab+ac) (here (a = 4), (b=-3d), (c = 10)), we get (4\times(-3d)+4\times10). (4\times(-3d)=-12d) and (4\times10 = 40).
Answer:
(-12d+40)