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17 Nov 2019
Multiply: (x - 5)(x + 5) = Multiply: (2x + 3)(2x - 3) = Multiply: (x + 3y)(x - 3y) = Look carefully at examples 1, 2 and 3. List 2 things that the initial problems have in common: Look carefully at examples 1, 2 and 3. List 2 things that the solutions have in common: Generalize: (a + b)(a - b) = Does it matter if the parentheses are switched and the problem reads (a - b)(a + b)? In reverse, we call this the difference of 2 squares. It is a special factoring case and we write it as: a^2 - b^2 = (a + b)(a - b) What would you say are the conditions that a polynomial has to meet in order to be able to use the difference of 2 squares? would you be able to factor 3x^2 - 16 using the difference of 2 squares? Why or why not? would you be able to factor x^2 + 16 using the difference of 2 squares? Why or why not? When factoring the difference of 2 squares, you should ask yourself "what are they perfect squares of?" Practice: Factor Completely x^2 - 25 = 16a^2 - 1 =
Multiply: (x - 5)(x + 5) = Multiply: (2x + 3)(2x - 3) = Multiply: (x + 3y)(x - 3y) = Look carefully at examples 1, 2 and 3. List 2 things that the initial problems have in common: Look carefully at examples 1, 2 and 3. List 2 things that the solutions have in common: Generalize: (a + b)(a - b) = Does it matter if the parentheses are switched and the problem reads (a - b)(a + b)? In reverse, we call this the difference of 2 squares. It is a special factoring case and we write it as: a^2 - b^2 = (a + b)(a - b) What would you say are the conditions that a polynomial has to meet in order to be able to use the difference of 2 squares? would you be able to factor 3x^2 - 16 using the difference of 2 squares? Why or why not? would you be able to factor x^2 + 16 using the difference of 2 squares? Why or why not? When factoring the difference of 2 squares, you should ask yourself "what are they perfect squares of?" Practice: Factor Completely x^2 - 25 = 16a^2 - 1 =
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Irving HeathcoteLv2
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