SOLUTION: Expanding each integer in the expression 21 × 12, the result is [(2 × 10^1) + (1 × 10^0)] × [(1 × 10^1) + (2 × 10^0)]. Replace the 10s with x’s and then multiply this expression us

Algebra ->  Equations -> SOLUTION: Expanding each integer in the expression 21 × 12, the result is [(2 × 10^1) + (1 × 10^0)] × [(1 × 10^1) + (2 × 10^0)]. Replace the 10s with x’s and then multiply this expression us      Log On


   



Question 1005901: Expanding each integer in the expression 21 × 12, the result is [(2 × 10^1) + (1 × 10^0)] × [(1 × 10^1) + (2 × 10^0)]. Replace the 10s with x’s and then multiply this expression using FOIL. Compare it with the normal integer multiplication method used above: How are they similar? Show your work.



Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Use ^ to separate exponents (I just fixed the question) - otherwise it looks like 101 and 100.

Replacing 10 with x, you have (2x+1)(1x+2) = 2x^2 + 4x + x + 2 = 2x^2 + 5x + 2.