Question

1. multiply. 7i(8 - 8i)

Explanation:

Step1: Apply distributive property

Using the distributive property \(a(b - c)=ab - ac\), here \(a = 7i\), \(b = 8\), \(c = 8i\). So we have \(7i\times8-7i\times8i\).

Step2: Simplify each term

For the first term: \(7i\times8 = 56i\). For the second term: \(7i\times8i=56i^{2}\). Recall that \(i^{2}=- 1\), so \(56i^{2}=56\times(-1)=-56\).

Step3: Combine the terms

Now we have \(56i-(-56)=56 + 56i\) (because subtracting a negative is adding the positive).

Answer:

\(56 + 56i\)