Question

# Add: 5x^{2} - 8xy + 3y^{2}, 4x^{2} + 3xy + 7y^{2}, 3x^{2} - 11xy - 8y^{2}

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:

5x^{2} - 8xy + 3y^{2},

4x^{2} + 3xy + 7y^{2},

3x^{2} - 11xy - 8y^{2}

○ Step 1.

○ Add the terms

5x^{2} - 8xy + 3y^{2}) + (4x^{2} + 3xy + 7y^{2}) + (3x^{2} - 11xy - 8y^{2})

5x^{2} - 8xy + 3y^{2} + 4x^{2} + 3xy + 7y^{2} + 3x^{2} - 11xy - 8y^{2}

○ Step 2.

○ Arrange the like terms

( 5x^{2} + 4x^{2}+ 3x^{2 }) - (8xy + 3xy - 11xy) + (3y^{2} + 7y^{2} - 8y^{2})

( 12x^{2 }) + (2y^{2})

12x^{2 }+ 2y^{2}

- Final Answer:

Hence, the addition is 12x^{2 }+ 2y^{2}.

^{2}- 8xy + 3y

^{2},

^{2}+ 3xy + 7y

^{2},

^{2}- 11xy - 8y

^{2}

○ Step 1.

○ Add the terms

^{2}- 8xy + 3y

^{2}) + (4x

^{2}+ 3xy + 7y

^{2}) + (3x

^{2}- 11xy - 8y

^{2})

^{2}- 8xy + 3y

^{2}+ 4x

^{2}+ 3xy + 7y

^{2}+ 3x

^{2}- 11xy - 8y

^{2}

○ Step 2.

○ Arrange the like terms

^{2}+ 4x

^{2}+ 3x

^{2 }) - (8xy + 3xy - 11xy) + (3y

^{2}+ 7y

^{2}- 8y

^{2})

^{2 }) + (2y

^{2})

^{2 }+ 2y

^{2}