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Maths-

General

Easy

Question

Add: 5x² - 8xy + 3y², 4x² + 3xy + 7y², 3x² - 11xy - 8y²

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: Hence, the addition is 12x2 + 2y2.

Answer:

○

Step by step explanation:

○        Given:
Three terms:
5x² - 8xy + 3y²,
4x² + 3xy + 7y²,
3x² - 11xy - 8y²
○        Step 1.
○        Add the terms
5x² - 8xy + 3y²) + (4x² + 3xy + 7y²) + (3x² - 11xy - 8y²)
$rightwards double arrow$ 5x² - 8xy + 3y² + 4x² + 3xy + 7y² + 3x² - 11xy - 8y²
○        Step 2.
○        Arrange the like terms
$rightwards double arrow$ ( 5x² + 4x²+ 3x²) - (8xy + 3xy - 11xy) + (3y² + 7y² - 8y²)
$rightwards double arrow$ ( 12x²) + (2y²)
   $rightwards double arrow$ 12x²+ 2y²

Final Answer:

Hence, the addition is 12x²+ 2y².

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