CameraIcon

SearchIcon

MyQuestionIcon

1

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

Addition and Subtraction of Algebraic Expressions

How much is y...

Question

Question 62

How much is $y^{4} - 12 y^{2} + y + 14$ greater than $17 y^{3} + 34 y^{2} - 51 y + 68$ ?

Open in App

Solution

Required expression is
$y^{4} - 12 y^{2} + y + 14 - (17 y^{3} + 34 y^{2} - 51 y + 68) = y^{4} - 12 y^{2} + y + 14 - 17 y^{3} - 34 y^{2} + 51 y - 68$
On combining the like terms.
$= y^{4} - 12 y^{2} - 34 y^{2} + y + 51 y + 14 - 68 - 17 y^{3} = y^{4} - 46 y^{2} + 52 y - 17 y^{3} - 54 = y^{4} - 17 y^{3} - 46 y^{2} + 52 y - 54$
So, $y^{4} - 12 y^{2} + y + 14$ is $y^{4} - 17 y^{3} - 46 y^{2} + 52 y - 54$ greater than $17 y^{3} + 34 y^{2} - 51 y + 68.$

Suggest Corrections

thumbs-up

38

Similar questions

Q. By how much is

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

x^{4} + 8 x^{2} y^{2} + y^{4}

?

y^{4} - 3 y^{3} + \frac{1}{2} y^{2} by 3 y

Q. How much is x − 2y + 3z greater than 3x + 5y − 7?

Q. By how much is 2x − 3y + 4z greater than 2x + 5y − 6z + 2?

t

is a number greater than

1

t^{2}

is how much greater than

t

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Addition and Subtraction of Algebraic Expressions

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon