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Algebraic Expressions

Question 83 x...

Question

Question 83 (xxii)

Multiply the following:

$(2 x - 2 y - 3), (x + y + 5)$

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Solution

We have, $(2 x - 2 y - 3)$ and $(x + y + 5)$
$∴ (2 x - 2 y - 3) (x + y + 5) = 2 x (x + y + 5) - 2 y (x + y + 5) - 3 (x + y + 5) = 2 x^{2} + 2 x y + 10 x - 2 y x - 2 y^{2} - 10 y - 3 x - 3 y - 15$
$= 2 x^{2} + 2 x y - 2 y x + 10 x - 3 x - 2 y^{2} - 10 y - 3 y - 15$ [grouping like terms]
$= 2 x^{2} + 7 x - 13 y - 2 y^{2} - 15$

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Question 83 (xxii)

Multiply the following:

$(2 x - 2 y - 3), (x + y + 5)$

Question 83 (v)

Multiply the following :

$- 3 x^{2} y, (5 y - x y)$

Question 83 (xviii)

Multiply the following :

$(\frac{3}{4} x - \frac{4}{3} y), (\frac{2}{3} x + \frac{3}{2} y)$

x

y

in the following question:

\frac{2}{x + 2 y} + \frac{1}{2 x - y} + \frac{5}{9} = 0

\frac{9}{x + 2 y} + \frac{6}{2 x - y} + 4 = 0

Question 5(b)
Add : 2x (z - x - y ) and 2y (z - y - x)

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Algebraic Expressions

Standard VIII Mathematics

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