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?2704*?2209=?

it is related to simplification of algebraic terms

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2 Answers

In terms of simplifying it to solve it more easily, you can use the properties of FOIL.

(a+b)*(c+d) = a*c+b*c+a*d+b*d

what you have is 2704 * 2209

To make it similar to the properties of FOIL, you can split the numbers up.

2704 = 3000 - 296

2209 = 2000 + 209

2704 * 2209 = (3000 - 296)*(2000 + 209) = 3000 * 2000 - 296 * 2000 + 209 * 3000 - 296 * 209

You can further simplify this by repeating the steps

-296*2000 = (-300 + 4) * 2000 = -300 * 2000 + 4 * 2000

209*3000 = (200 + 9) * 3000 = 200 * 3000 + 9 * 3000

-296 * 209 = (-300 +4)*(200 + 9)

I'm sure you can finish from here. It's essentially taking one method and repeating it multiple times to make the numbers easier to multiply.

Please rewrite the problem the way it is written on your homework.  Thanks.