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### Middle/High School Algebra, Geometry, and Statistics (AGS)3.9 Factorization: a2 - b2

 Example 1: Factorize, 9a2-16. Solution: Given that, 9a2-16. We can write this as, (3a)2-(4)2. This is in the form of a2-b2 = (a+b)(a-b) Here a = 3a and b = 4, substitute these values in the formula, we get, = (3a+4)(3a-4). Example 2:Factorize, 16x2-9y2. Solution: Given that, 16x2-9y2. We can write this as, (4x)2-(3y)2. This is in the form of a2-b2 = (a+b)(a-b) Here a = 4x and b = 3y, substitute these values in the formula, we get, = (4x+3y)(4x-3y). Directions: Solve the following problems. Also write at least 10 examples of your own.
 Q 1: Factorize, 9x2-49y2.(3x+7y)(3x+7y)(3x+7y)(3x-7y)(3x-7y)(3x-7y)None of these Q 2: Factorize, 49x2-16y2. (7x-4y)(7x-4y)(7x+4y)(7x+4y)(7x+4y)(7x-4y)None of these Q 3: Factorize, 4x2-y2.(2x+y)(2x+y)None of these(2x-y)(2x-y)(2x+y)(2x-y) Q 4: Factorize, 16a2-9b2.None of these(4a-3b)(4a-3b)(4a+3b)(4a-3b)(4a+3b)(4a+3b) Q 5: Factorize, a2b2-c2d2.None of these(ab+cd)(ab-cd)(ab+cd)(ab+cd)(ab-cd)(ab-cd) Q 6: Factorize, x2-9y2. (x+3y)(x+3y)(x+3y)(x-3y)(x-3y)(x-3y)None of these Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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