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Difference of Squares Factoring Fun Help Game Tips: - Perfect squares are formed by multiplying a quantity times itself, as in (3)(3) =9 . Here are six perfect squares: 9, 25, 36, 42, k2, (y+3)2 . - A 'Difference of Squares' expression can be formed by subtracting one perfect square from another one. Here are four 'Difference of Squares' expressions: 16-9, 49-r2, k2-36, (y+3)2-w2 . - The Difference of Squares 16-9 can be factored into the two factors (4-3)(4+3). If you check (4-3)(4+3) , it multiplies together to give you the value 7 which is the same as 16-9. - The Difference of Squares 49-r2 can be factored as (7-r)(7+r). If you check (7-r)(7+r) , it multiplies together to give you the original expression 49+7r-7r-r2 = 49-r2. [To review multiplying a binomial times a binomial see the other SliderMath games.] - As a general rule, the Difference of Squares a2-b2 can be factored as (a-b)(a+b). You can use the two factors (a-b)(a+b) or you can use (a+b)(a-b). Both answers are equivalent. - Refresh/Reload the web page to start over again. - If the game doesn't respond to keyboard input, click inside the game area to reset the game's focus. - The score report automatically appears after you have made 10 choices. - The Factors score is based on your choices only and does not count the helicopter hits. - The Game score is reduced by the number of helicopter hits. - The game speeds up as your score increases. Adjust this with the - and + keys. |
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