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Maths-

General

Easy

Question

Subtract -5x² from the sum of 3xy - 2x²+ 19 and 9y² + 3x² - 5.

hint Hint:

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

The correct answer is: 6x2 + 9y2 + 3xy + 14

Answer:
Step by step explanation:
○ Given:
3xy - 2x²+ 19 and 9y² + 3x² - 5
-5x²
○ Step 1:
Add 3xy - 2x²+ 19 and 9y² + 3x² - 5
(3xy - 2x²+ 19) + (9y² + 3x² - 5)
$rightwards double arrow$ 3xy - 2x²+ 19 + 9y² + 3x² - 5
○ Step 2:
Arrange the term in descending order of their power
$rightwards double arrow$ 3x² - 2x² + 9y²+3xy + 19 - 5
$rightwards double arrow$ x²+ 9y²+ 3xy + 14
○ Step 3:
Subtract -5x²from x² + 9y²+ 3xy + 14
(x²+ 9y²+3xy + 14) - ( -5x²)
$rightwards double arrow$ x²+ 9y²+ 3xy + 14 + 5x²
$rightwards double arrow$ 6x² + 9y²+3xy + 14

Final Answer:

6x² + 9y²+ 3xy + 14

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