Add: $(4 x^{2} - 7 x y + 4 y^{2} - 3), (5 + 6 y^{2} - 8 x y + x^{2})$ and $(6 - 2 x y + 2 x^{2} - 5 y^{2})$ .

Open in App

Solution

Let us add the given expressions $4 x^{2} - 7 x y + 4 y^{2} - 3, 5 + 6 y^{2} - 8 x y + x^{2}$ and $6 - 2 x y + 2 x^{2} - 5 y^{2}$ as shown below:

$(4 x^{2} - 7 x y + 4 y^{2} - 3) + (5 + 6 y^{2} - 8 x y + x^{2}) + (6 - 2 x y + 2 x^{2} - 5 y^{2}) = 4 x^{2} - 7 x y + 4 y^{2} - 3 + 5 + 6 y^{2} - 8 x y + x^{2} + 6 - 2 x y + 2 x^{2} - 5 y^{2} = (4 x^{2} + x^{2} + 2 x^{2}) + (- 7 x y - 8 x y - 2 x y) + (4 y^{2} + 6 y^{2} - 5 y^{2}) + (- 3 + 5 + 6) (C o m b i n i n g l i k e t e r m s) = (4 + 1 + 2) x^{2} + (- 7 - 8 - 2) x y + (4 + 6 - 5) y^{2} + 8 = 7 x^{2} - 17 x y + 5 y^{2} + 8$

Hence, $(4 x^{2} - 7 x y + 4 y^{2} - 3) + (5 + 6 y^{2} - 8 x y + x^{2}) + (6 - 2 x y + 2 x^{2} - 5 y^{2}) = 7 x^{2} - 17 x y + 5 y^{2} + 8$ .

Suggest Corrections

Similar questions

(2 x + 4 y)^{2}

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

4 x^{2} - 3 x y - 9 y^{2}

2 x^{2} - 4 y^{2} - z^{2}, 8 x^{2} + 5 y^{2} + 4 z^{2}, 5 x^{2} - 5 y^{2} + 2 z^{2}

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

3 x^{2} - 4 y^{2} + 5 x y + 20

- x^{2} - y^{2} + 6 x y + 20

Join BYJU'S Learning Program