Question

Add - 8x² + 7xy - 6y² , 4x² - 3xy + 2y² , -4x² + xy - y²

Answer 1

Answer:

- 8x² + 5xy- 5y²

Step-by-step explanation:

- 8x² + 7xy - 6y² + 4x² - 3xy + 2y² + (-4x² + xy - y²)

- 8x² + 7xy - 6y² + 4x² - 3xy + 2y² - 4x² + xy - y²

- 8x² + 5xy- 5y²

Answer 2

• As per the data, we have to find the value of the expression.

          Given data:- $(-8x^{2} +7xy-6y^{2} )+(4x^{2} -3xy+2y^{2} )+(-4x^{2} +xy-y^{2} ).$

          To find:-Value of given expression=?

          Solution:-

• Adding two or more numbers together is known as an addition.

• Addition as denoted by(+).

• Properties of addition are as follows

1. Identity property of zero.
2. Inverse property.
3. Commutative property.
4. Associative property.

        Therefore,

              $(-8x^{2} +7xy-6y^{2} )+(4x^{2} -3xy+2y^{2} )+(-4x^{2} +xy-y^{2} )\\=-8x^{2} +4x^{2} -4x^{2} +7xy-3xy+xy-6y^{2} +2y^{2} -y^{2} \\=-8x^{2} +5xy-5y^{2} .$

         Hence we will get the value $-8x^{2} +5xy-5y^{2}.$