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NNADVOKAT [17]
3 years ago
14

Why is subtracting an expression similar to distributing -1? Explain.

Mathematics
1 answer:
jeka57 [31]3 years ago
5 0
Take the expression 2<em>x </em><em>- </em><em />(<em>x</em> - 3).  We know we can multiply everything by 1 and not change it; we know that if a variable does not have a coefficient with it, we can write a 1 beside it.  That means we can write our expression as
2<em>x</em> - 1(<em>x</em> - 3).  This helps us see the distributive property applies here:
2<em /><em>x</em> - 1<em>x</em> - 1(-3)
2<em>x</em> - 1<em>x</em> - -3
2<em>x</em> - 1<em>x</em> + 3
1<em>x</em> + 3 = <em>x</em> + 3<em />
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