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(a-b)^2 Expansion and Visualisation

Question 1 v ...

Question

Question 1 (v)

Simplify combining like terms:

$5 x^{2} y - 5 x^{2} + 3 y x^{2} - 3 y^{2} + x^{2} - y^{2} + 8 x y^{2} - 3 y^{2}$

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Solution

$5 x^{2} y - 5 x^{2} + 3 y x^{2} - 3 y^{2} + x^{2} - y^{2} + 8 x y^{2} - 3 y^{2} = 5 x^{2} y + 3 y x^{2} + 8 x y^{2} - 5 x^{2} + x^{2} - 3 y^{2} - y^{2} - 3 y^{2}$
$= (5 x^{2} y + 3 x^{2} y) + 8 x y^{2} - (5 x^{2} - x^{2}) - (3 y^{2} + y^{2} + 3 y^{2})$
$= 8 x^{2} y + 8 x y^{2} - 4 x^{2} - 7 y^{2}$

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Question 1 (vi)

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(a-b)^2 Expansion and Visualisation

Standard VII Mathematics

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