Difference Between Two Squares - Expanding and Simplifying Techniques
Explaining the concept of the difference between two squares and how to identify and expand the pair of brackets resulting from them. Detailed examples of expanding and simplifying expressions using FOIL method in algebra. This guide provides clarity on the concept for better understanding.
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1 March 2025 Difference of two squares LO: To identify a pair of brackets that result in the difference of two squares and how to expand them. www.mathssupport.org
The difference between two squares b a b2 b b b a a a2 a area = a2 We have a square with side a We have another square, within the original square, with side b area = b2 www.mathssupport.org www.mathssupport.org
The difference between two squares b a b2 b b b a a a2 a If we remove the yellow square, the area will be a2 b2 www.mathssupport.org www.mathssupport.org
The difference between two squares a b b b a a b a If we remove the yellow square, the area will be a2 b2 www.mathssupport.org www.mathssupport.org
The difference between two squares a + b b a a b a b This is the difference between two squares. a b If we remove the yellow square, the area will be (a b) (a + b) = a2 b2 www.mathssupport.org www.mathssupport.org
The difference between two squares Expand and simplify (a + 7)(a 7) L F Expanding using FOIL, (a + 7)(a 7) I O = a2 7a + 7a 49 = a2 49 When we simplify, the two middle terms cancel out. This is the difference between two squares. In general, (a + b)(a b)= a2 b2 www.mathssupport.org www.mathssupport.org
The difference between two squares Expand and simplify (2a + 4)(2a 4) L F Expanding using FOIL (2a + 4)(2a 4) I O = 4a2 8a = 4a2 16 + 8a 16 When we simplify, the two middle terms cancel out. This is the difference between two squares. In general, (a + b)(a b)= a2 b2 www.mathssupport.org www.mathssupport.org
The difference between two squares Expand and simplify (2x + 3)(2x 3) (a + b)(a b)= a2 b2 This is the rule for the difference between two squares. Expanding, (2x + 3)(2x 3) = (2x)2 32 = 4x2 9 www.mathssupport.org www.mathssupport.org
The difference between two squares Expand and simplify (6 3y)(6 + 3y) (a + b)(a b)= a2 b2 This is the rule for the difference between two squares. Expanding, (6 3y)(6 + 3y) = 62 (3y)2 = 36 9y2 www.mathssupport.org www.mathssupport.org
The difference between two squares Expand and simplify (2x + 5y)(2x 5y) (a + b)(a b)= a2 b2 This is the rule for the difference between two squares. Expanding, (2x + 5y)(2x 5y) = (2x)2 (5y)2 = 4x2 25y2 www.mathssupport.org www.mathssupport.org
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