Mathematics - Algebra - Quadratics - Completing the square - Perfect Square Patterns

Show: (x+3)²=x²+6x+9. (x+5)²=x²+10x+25. 'See the pattern? The constant is always (half the middle coefficient)²'. Fill in: (x+4)²=x²+___x+___ (8, 16). 'What if we have x²+8x+___? We need 16 to complete the square!' 5 pattern-recognition problems. Build the 'halve-and-square' intuition.

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Mathematics - Algebra - Quadratics - Completing the square - Perfect Square Patterns
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Mathematics - Algebra - Quadratics - Completing the square - Perfect Square Patterns

vivmagarwal
vivmagarwalJan 29, 2026

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Show: (x+3)²=x²+6x+9. (x+5)²=x²+10x+25. 'See the pattern? The constant is always (half the middle coefficient)²'. Fill in: (x+4)²=x²+___x+___ (8, 16). 'What if we have x²+8x+___? We need 16 to complete the square!' 5 pattern-recognition problems. Build the 'halve-and-square' intuition.

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MathematicsAlgebra - QuadraticsClass 11, Grade 10, AS Level, Class 11, DP Grade 11

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