ADDITION & SUBTRACTION OF ALGEBRAIC EXPRESSION OR POLYNOMIALS

ADDITION & SUBTRACTION OF ALGEBRAIC EXPRESSION OR POLYNOMIALS
SUBTRACTION OF ALGEBRAIC EXPRESSIONS
Subtraction of algebraic expressions involves combining like terms and simplifying the expression by subtracting corresponding coefficients or terms. Here's a step-by-step explanation
RULES FOR SUBTRACTION OF LIKE TERMs
RULE-1 Identify Like Terms:
Like terms are terms that have the same variable(s) raised to the same power(s).
For example, in the expression 3x²-2xy+5y²-4x2+7xy, the like terms are 3x² and -4x², and -2xy and 7xy
RULE-2 Combine Like Terms:
Combine the coefficients of like terms by adding or subtracting them.
In our example, 3x²-4x² becomes -x², and -2xy+7xy becomes 5xy
RULE-3 Write the Result:
Combine the simplified terms to write the final result.
The simplified expression for 3x²-2xy+5y²-4x²+7xy is -x²+5xy+5y²
Here's a visual representation:
(3x²-2xy+5y²)-(4x²+7xy)
=3x²-2xy+5y²-4x²-7xy
=(3x²-4x²)+(-2xy+7xy)+5y²
=-x²+5xy+5y²
Keep in mind the rules of signs when subtracting terms. Subtracting a positive term is equivalent to adding its negative, and subtracting a negative term is equivalent to adding its positive counterpart.
Examples : i)     5a - 3a = (5 - 3) a = 2a
             ii)     3a - 7a = - 4a
             iii)     - 3a - 6a = (-3 - 6) a = -9a
             iv)     3a - (-8a) = 3a + 8a = 11a
             v)     - 3a - (-8a) = -3a + 8a = 5a
Above examples are different combinations for subtraction of like terms with monomials.