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Algebraic Formulae – Expansion of Squares — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsAlgebraic Formulae – Expansion of Squares3 Marks
Question
Use the given values to verify the formulae for squares of binomials. : a = -7, b = 8
✓

Answer

(a + b)² = (-7 + 8)²
= 1²
= 1
a² + 2ab + b² = (-7)² + 2 x (-7) x 8 + 8²
= 49 – 112 + 64
= 1
∴(a + b)² = a² + 2ab + b²
(a – b)² = (-7 – 8)²
= (-15)²
= 225
a² – 2ab + b² = (-7)² – 2 x (-7) x 8 + (8)²
= 49 + 112 + 64
= 225
∴(a – b)² = a² – 2ab + b²

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