Add $5 x^{2} - 7 x + 3, - 8 x^{2} + 2 x - 5$ and $7 x^{2} - x - 2$

4 x^{2} - 7 x + 3

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

4 x^{2} - 6 x - 4

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

4 x^{2} + 7 x - 4

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

4 x^{2} - 6 x - 3

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

Open in App

Solution

The correct option is C $4 x^{2} - 6 x - 4$
To simplify an algebraic expression that consists of both like and unlike terms, we need to move the like terms together and then add or subtract their coefficients.

Here, the terms are $5 x^{2} - 7 x + 3, - 8 x^{2} + 2 x - 5$ and $7 x^{2} - x - 2$ . We add these terms as shown below:

$(5 x^{2} - 7 x + 3) + (- 8 x^{2} + 2 x - 5) + (7 x^{2} - x - 2) = (5 x^{2} - 8 x^{2} + 7 x^{2}) + (- 7 x + 2 x - x) + (3 - 5 - 2) = x^{2} (5 - 8 + 7) + x (- 7 + 2 - 1) + (3 - 5 - 2) = 4 x^{2} - 6 x - 4$

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

Suggest Corrections

Similar questions

4 x^{2} - 3 x y + 7 x

5 x^{2} - 7 x y + 5 x

4 x y - 7 x^{2}

α, β

2 x^{2} - 3 x + 4 = 0

α^{2}

β^{2}

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

x - 2

2 (5 x^{2} + 7 x + 8) - (4 x^{2} - 7 x + 3) =

${lim}_{x \to - \infty} (\sqrt{4 x^{2} - 7 x} + 2 x)$

Join BYJU'S Learning Program