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Addition and Subtraction of Algebraic Expression

Subtract 4x...

Question

Subtract $4 x + y + 2$ from the sum of $3 x - 2 y + 7$ and $5 x - 3 y - 8$ .

A

4 x y + 6 y - 3

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B

6 x - y + 2

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C

x - 2 y - 3

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D

4 x - 6 y - 3

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Solution

The correct option is D $4 x - 6 y - 3$
Sum of $3 x - 2 y + 7$ and $5 x - 3 y - 8$
$= 3 x - 2 y + 7 + 5 x - 3 y - 8$
$= 8 x - 5 y - 1$
Thus, $8 x - 5 y - 1 - (4 x + y + 2)$
$= 8 x - 5 y - 1 - 4 x - y - 2$
$= 4 x - 6 y - 3$

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5 x^{2} - 4 y^{2} + 6 y - 3

7 x^{2} - 4 x y + 8 y^{2} + 5 x - 3 y

Q. Subtract (3x + 4xy - 2y) from (6x + 8xy - 6y + 2y + 5).

Q. Solve the following system of equations by matrix method:
(i) 5x + 7y + 2 = 0
4x + 6y + 3 = 0

(ii) 5x + 2y = 3
3x + 2y = 5

(iii) 3x + 4y − 5 = 0
x − y + 3 = 0

(iv) 3x + y = 19
3x − y = 23

(v) 3x + 7y = 4
x + 2y = −1

(vi) 3x + y = 23
5x + 3y = 12

(x + y)^{4} = x^{4} + 4 x^{3} y + 6 x^{2} y^{2} + 4 x y^{3} + y^{4}

.

Q. Using the identity and proof:

(x - y)^{4} = x^{4} - 4 x^{3} y + 6 x^{2} y^{2} - 4 x y^{3} + y^{4}

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