Multiplying a polynomial by a monomial
By following normal calculation rules, the expression [[$ 2(3+4) $]], which means the same as [[$ 2 \cdot (3+4) $]], is simplified as follows: [[$ 2(3+4) = 2\cdot 7 = 14 $]].
The same result is arrived at by first multiplying both addendums separately [[$ 2(3+4) = 2\cdot 3 +2 \cdot 4 = 6+8 =14 $]]. If the expression contains variables that prevent the sum in brackets from being simplified, the latter method allows you to remove the brackets.
Multiplying a polynomial by a monomial
Each term in the polynomial is multiplied by the monomial separately. Products are added together with their signs.
[[$ a(b+c) = ab +ac $]]