## Introductory Algebra for College Students (7th Edition)

False. In general, $a+(bc)\neq(a+b)(a+c)$; in words, addition can not be distributed over multiplication.
For the equality to be true, it must be true for all a,b,c. Counterexample: a=1, b=2, c=0 LHS = $1+(2\cdot 0)=1$ RHS = $(1+2)(1+0)=3(1)=3$ so, the statement is false. To make it true, replace $=$ with $\neq$. False. In general, $a+(bc)\neq(a+b)(a+c)$; in words, addition can not be distributed over multiplication.