Subtraction of Algebraic Expressions
Example 1:
$$ \textup{Subtract} \; 5x \; \textup{from} \; 7x$$
Solution:
$$ 7x - 5x = 2x$$
Example 2:
$$ \textup{Subtract} \; 6a \; \textup{from} \; 15a$$
Solution:
$$ 15a - 6a = 9a$$
Example 3:
$$ \textup{Subtract} \; 8x \; \textup{from} \; 3x$$
Solution:
$$ 3x - 8x = -5x$$
Example 4:
$$ \textup{Subtract} \; -5x \; \textup{from} \; 12x$$
Solution:
$$ 12x - (-5x) = 12x +5x = 17x$$
Example 5:
$$ \textup{Subtract} \; -3a \; \textup{from} \; -9a$$
Solution:
$$ -9a-(-3a)=-9a+3a=-6a$$
Example 6:
$$ \textup{Subtract} \; 4x+5y \; \textup{from} \; 9x+8y$$
Solution:
$$ (9x+8y)-(4x+5y)$$
$$ =9x+8y-4x-5y$$
$$ =9x-4x+8y-5y$$
$$ =5x+3y$$
Example 7:
$$ \textup{Subtract} \; 3x+7 \; \textup{from} \; 12x+17$$
Solution:
$$ (12x+17)-(3x+7)$$
$$ =12x+17-3x-7$$
$$ =12x-3x+17-7$$
$$ =9x+10$$
Example 8:
$$ \textup{Subtract} \; 14a-9b\; \textup{from} \; 23a+8b$$
Solution:
$$ (23a+8b)-(14a-9b)$$
$$ =23a+8b-14a+9b$$
$$ =23a-14a+8b+9b$$
$$ =9a+17b$$
Example 9:
$$ \textup{Subtract} \; x+2y-z\; \textup{from} \; 2x+3y+z$$
Solution:
$$ (2x+3y+z)-(x+2y-z)$$
$$ =2x+3y+z-x-2y+z$$
$$ =2x-x+3y-2y+z+z$$
$$ =x+y+2z$$
Example 10:
$$ \textup{Subtract} \; 3a-2b+4c\; \textup{from} \; 5a-7b+3c$$
Solution:
$$ (5a-7b+3c)-(3a-2b+4c)$$
$$ =5a-7b+3c-3a+2b-4c$$
$$ =5a-3a-7b+2b+3c-4c$$
$$ =2a-5b-c$$