SOLUTION: what is the product of (7x+1/2) and (-10x-22)? i have gotten -70x squared -11 but my teacher told me that was incorrect and i dont know what im doing wrong.

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: what is the product of (7x+1/2) and (-10x-22)? i have gotten -70x squared -11 but my teacher told me that was incorrect and i dont know what im doing wrong.      Log On


   



Question 657397: what is the product of (7x+1/2) and (-10x-22)? i have gotten -70x squared -11 but my teacher told me that was incorrect and i dont know what im doing wrong.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The rule is:
( a + b ) x ( c + d ) = ac + bc + ad + bd
You got the ac and the bd, but you
left out the bc and ad
++%287x%2B1%2F2%29%2A%28-10x-22%29+=+-70x%5E2+-5x+-154x+-+11+
+-70x%5E2+-+159x+-+11+
-------------------------
You can check by plugging in some value for x
I'll say +x+=+-1%2F2+
++%287x%2B1%2F2%29%2A%28-10x-22%29+=+%28-7%2F2+%2B+1%2F2%29%2A%285+-+22%29+
+%28-3%29%2A%28-17%29+=+51+
and, also
+-70x%5E2+-+159x+-+11+=+-70%2A%281%2F4%29+-+159%2A%28-1%2F2%29+-+11+
+-17+-+1%2F2+%2B+79+%2B+1%2F2+-+11+
+-17+%2B+79+-+11+=+79+-+28+
+79+-+28+=+51+
OK