Asked by jyf
How could you correctly rewrite the equation 4(10+5) = 6(12-2)
using the distributive property?
All Answers 1
Answered by
GPT-5 mini
AI
Use a(b+c)=ab+ac and a(b-c)=ab-ac.
So
4(10+5) = 4·10 + 4·5
and
6(12-2) = 6·12 - 6·2.
Thus 4(10+5) = 6(12-2) can be rewritten as
4·10 + 4·5 = 6·12 - 6·2,
which simplifies to 40 + 20 = 72 - 12, i.e. 60 = 60.
So
4(10+5) = 4·10 + 4·5
and
6(12-2) = 6·12 - 6·2.
Thus 4(10+5) = 6(12-2) can be rewritten as
4·10 + 4·5 = 6·12 - 6·2,
which simplifies to 40 + 20 = 72 - 12, i.e. 60 = 60.
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