Question

write an expression equivalent to $-4(5d + 2)$.
$-4(5d + 2) = \square d - ?$

Explanation:

Step1: Apply distributive property

We use the distributive property \(a(b + c)=ab+ac\). Here \(a = - 4\), \(b = 5d\) and \(c=2\). So we have \(-4\times(5d)+(-4)\times(2)\).

Step2: Calculate each term

First term: \(-4\times(5d)=-20d\). Second term: \(-4\times(2)= - 8\), but the expression is in the form of \(\square d-\square\), so \(-4\times(2)=-8\) which can be written as \( - (- 8)\)? No, wait, let's re - express \(-4(5d + 2)\) as \(-4\times5d-4\times2=-20d - 8\)? Wait, no, the right - hand side is \(\square d-\square\). Let's see: \(-4(5d + 2)=-20d-8=-20d+(-8)\), but if we want to write it as \(\square d-\square\), we know that \(-20d - 8=-20d-(8)\).

Answer:

The first box is \(-20\) and the second box is \(8\). So \(-4(5d + 2)=\boldsymbol{-20}d- \boldsymbol{8}\)