If the sum and the difference of two expressions is $5 x^{2} - x - 4 a n d x^{2} + 9 x - 10$ respectively, then the expressions are

(4 x^{2} + 8 x - 6) a n d (4 x^{2} - 10 x + 2)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(2 x^{2} + 4 x - 3) a n d (3 x^{2} - 10 x - 6)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(3 x^{2} + 4 x - 7) a n d (2 x^{2} - 5 x + 3)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(3 x^{2} + 4 x + 7) a n d (2 x^{2} - 5 x - 3)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $(3 x^{2} + 4 x - 7) a n d (2 x^{2} - 5 x + 3)$
Let the two expression be A & B.
Then, by the given conditions,
$A + B = 5 x^{2} - x - 4...... (i) & A - B = x^{2} + 9 x - 10..... (i i) . (i) + (i i) ⟶ 2 A = 6 x^{2} + 8 x - 14 ⟹ A = 3 x^{2} + 4 x - 7. (i) - (i i) ⟶ 2 B = 4 x^{2} - 10 x + 6 ⟹ B = 2 x^{2} - 5 x + 3. ∴ (A, B) = (3 x^{2} + 4 x - 7, 2 x^{2} - 5 x + 3) .$ \\

Suggest Corrections

Similar questions

8 + 73 x + {7 x}^{2}

{2 x}^{2} + 9 x + 2

{3 x}^{2} - 4 x + 1

- 3 x^{3} + 4 x^{2} - 5 x + 6

3 x^{3} - 4 x^{2} + 5 x - 6

6 x^{3} - 8 x^{2} + 10 x - 12

5 x^{2} - x - 4

x^{2} + 9 x - 10

Dividing $4 x^{2} - 10 x + 6$ by $2$ , we get ______.

Join BYJU'S Learning Program