Use the distributive property to find the result of:
a) \( 3 \times (-2) + 3 \times 5 \)
b) \( 45 \times (-16) + (-47) \times (-16) + (-16) \)
a) \( 3 \times (-2) + 3 \times 5 \)
\( = 3 \times (-2 + 5) \)
\( = 3 \times 3 = 9 \)
b) \( 45 \times (-16) + (-47) \times (-16) + (-16) \)
\( = (45 - 47 + 1) \times (-16) \)
\( = (-1) \times (-16) = 16 \) (Note: Correct answer is -48, see explanation below)
\( = 3 \times (-2 + 5) \)
\( = 3 \times 3 = 9 \)
b) \( 45 \times (-16) + (-47) \times (-16) + (-16) \)
\( = (45 - 47 + 1) \times (-16) \)
\( = (-1) \times (-16) = 16 \) (Note: Correct answer is -48, see explanation below)
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