Maths-

General

Easy

Question

# Subtract -5x^{2} from the sum of 3xy - 2x^{2 }+ 19 and 9y^{2} + 3x^{2} - 5.

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 - 2x^{2 }+ 19 and 9y^{2} + 3x^{2} - 5

-5x^{2}

○ Step 1:

Add 3xy - 2x^{2 }+ 19 and 9y^{2} + 3x^{2} - 5

(3xy - 2x^{2 }+ 19) + (9y^{2} + 3x^{2} - 5)

3xy - 2x^{2 }+ 19 + 9y^{2} + 3x^{2} - 5

○ Step 2:

Arrange the term in descending order of their power

3x^{2} - 2x^{2} + 9y^{2 }+3xy + 19 - 5

x^{2 }+ 9y^{2 }+ 3xy + 14

○ Step 3:

Subtract -5x^{2 }from x^{2} + 9y^{2 }+ 3xy + 14

(x^{2 }+ 9y^{2 }+3xy + 14) - ( -5x^{2})

x^{2 }+ 9y^{2 }+ 3xy + 14 + 5x^{2}

6x^{2} + 9y^{2 }+3xy + 14

- Final Answer:

6x^{2} + 9y^{2 }+ 3xy + 14

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