MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Addition and Subtraction of Algebraic Expression

Subtract the ...

Question

Subtract the sum of $2 x^{2} - 4 x + 11$ and $7 x^{2} - 4 x + 1$ from the sum of $8 x^{2} - 7 x - 7$ and $6 x^{2} + 4 x - 6.$

Open in App

Solution

Let $S_{1} = (2 x^{2} - 4 x + 11) + (7 x^{2} - 4 x + 1) = (2 + 7) x^{2} + (- 4 - 4) x + (11 + 1) = 9 x^{2} - 8 x + 12$

and $S_{2} = (8 x^{2} - 7 x - 7) + (6 x^{2} + 4 x - 6) = (14) x^{2} + (- 7 + 4) x + (- 6 - 7) = 14 x^{2} - 3 x - 13$

Now, $S_{2} - S_{1} = (14 x^{2} - 3 x - 13) - (9 x^{2} - 8 x + 12) = 14 x^{2} - 3 x - 13 - 9 x^{2} + 8 x - 12 = 5 x^{2} + 5 x - 25$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Subtract the sum of

36 - 4 m - 7 x^{2}

2 t - 3 m - 4 x^{2}

from the sum of

96 + 2 m - 3 x^{2}

- 36 + m + 4 x^{2}

Q. From the sum of

4 + 3 x

5 - 4 x + 2 x^{2}

, subtract the sum of

3 x^{3} - 5 x

- x^{2} + 2 x + 5

Subtract $(5 x^{2} - 5 x - 7)$ from the sum of $(x^{2} - 3), (5 - 4 x)$ and $(9 + 4 x^{2})$

Q. Find the sum of

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

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

. Subtract it from the sum of

3 x^{3} + 2 x^{2} - 9

4 x^{3} + 7

Subtract 7x − 3 $x^{2}$ from 4x + 8 $x^{2}$

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Addition and Subtraction of Algebraic Expression

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Addition and Subtraction of Algebraic Expression

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon