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(a-b)^2 Expansion and Visualisation

Question 3 vi...

Question

Question 3 (vi)

Subtract:

$- x^{2} + 10 x - 5 f r o m 5 x - 10$

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Solution

$5 x - 10 - (- x^{2} + 10 x - 5) = 5 x - 10 + x^{2} - 10 x + 5$
$= x^{2} + 5 x - 10 x - 10 + 5 = x^{2} - 5 x - 5$

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(- x^{2}) + 10 x - 5

5 x - 10

- x^{2} + 10 x - 5 f r o m 5 x - 10

(-10 x -10 x -10 x -10 x -10 x -10 x -10 x -10) divided by (-5 x -5 x -5 x -5 x -5) gives

Question 6 (b)

From the sum of $4 + 3 x a n d 5 - 4 x + 2 x^{2}$ , subtract the sum of $3 x^{2} - 5 x a n d - x^{2} + 2 x + 5$ .

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y^{2}

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- 12 x y

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- m^{2} + 5 m n

4 m^{2} - 3 m n + 8

- x^{2} + 10 x - 5

5 x - 10

5 a^{2} - 7 a b + 5 b^{2}

3 a b - 2 a^{2} - 2 b^{2}

4 p q - 5 q^{2} - 3 p^{2}

5 p^{2} + 3 q^{2} - p q

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