Question

Distribute and combine like terms: 9a+10(6a-1)

Answer 1

To distribute and combine like terms for the expression 9a + 10(6a - 1), you distribute the 10 into the parentheses, perform the multiplication, combine like terms, and then simplify to get the result 69a - 10.

Step-by-step explanation:

To distribute and combine like terms in the expression 9a + 10(6a - 1), first distribute the 10 to both terms inside the parentheses:

9a + 10 * 6a - 10 * 1

Next, perform the multiplications:

9a + 60a - 10

Now, combine the like terms, which are the terms with 'a':

(9a + 60a) - 10

Add the coefficients of 'a':

69a - 10

Thus, the distributed and simplified expression is 69a - 10. Always remember to eliminate terms wherever possible to simplify the algebra and check that the answer is reasonable.