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Maths-

General

Easy

Question

Add the following algebraic expressions:
(i) x²- x y + y² and 6x² + 3xy + 9y²

hint Hint:

The concept used in this question is the addition of polynomials.
○        Arrange the term in the decreasing order of their power.
○        To add polynomials simply add any like terms together.
○        Like terms are terms whose variables and exponents are the same

The correct answer is: 7x2 + 2xy + 10y2.

Answer

Step by step explanation:

○        Given:
Expression: x²- xy + y²
6x² + 3xy + 9y²
○        Step 1:
○        Simplify the expression.
∴ (x²- x y + y²) + (6x² + 3xy + 9y²)
○        Step 2:
○        Group the like terms.
$rightwards double arrow$ (x² +6x² ) + ( 3xy - x y ) + ( y² + 9y²)
○        Step 3:
○        Perform simple addition of like terms
$rightwards double arrow$ (x² +6x² ) + ( 3xy - x y ) + ( y² + 9y²)
$rightwards double arrow$ (7x²) + (2xy) + (10y²)
$rightwards double arrow$ 7x² + 2xy + 10y²

Final Answer:

7x² + 2xy + 10y².

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