Simplify the expression. Write your answer is standard form. −4d(5d2−12)+7(d+5)-4𝑑(5𝑑2-12)+7(𝑑+5)

Sure, let's simplify the given expression step by step.

Given expression: $-4d(5d^2 - 12) + 7(d + 5) - 4d(5d^2 - 12) + 7(d + 5)$

Step 1: Distribute $-4d$ and $7$ in the expression. $-4d \cdot 5d^2 - 4d \cdot (-12) + 7 \cdot d + 7 \cdot 5 - 4d \cdot 5d^2 - 4d \cdot (-12) + 7 \cdot d + 7 \cdot 5$

Step 2: Simplify each term. $-20d^3 + 48d + 7d + 35 - 20d^3 + 48d + 7d + 35$

Step 3: Combine like terms. $-20d^3 - 20d^3 + 48d + 48d + 7d + 7d + 35 + 35$

Step 4: Simplify further. $-40d^3 + 110d + 70$

So, the simplified expression in standard form is: $-40d^3 + 110d + 70$