Question

Subtract x3+3xy+5 from -2x3 -xy+7

Answer 1

The given polynomial expression can be solved by the following method:

Given:

Polynomial expression (Minuend)= -2x³ -xy + 7

Polynomial expression (Subtrahend) = x³ + 3xy + 5

To find:

Difference between the given polynomial expression = ?

Solution:

• The given expressions are the polynomial equations.
• To find the difference between two given polynomial expression follow the steps as given below:

Step 1:  Identify subtrahend and minuend from the question; prefix the subtraction sign (-) and write the subtrahend in the round brackets or parentheses.

∴ -2x³ -xy + 7 - (x³ + 3xy + 5) =?

Step 2: Solve the brackets by changing sign according to the sign rules.

-2x³ -xy +7 - x³ - 3xy - 5 = ? (∵ minus * plus = minus)

Step 3: Now solve by arranging the like terms.

-2x³ - x³ -xy -3xy +7 - 5 = ?

= -3x³ -4xy + 2

• Therefore, the difference between the given polynomial expression is -3x³ -4xy +2.

Answer 2

Given: $x^3+3xy+5 \ and\ -2x^3 -xy+7$

We have to subtract$x^3+3xy+5 \ from\ -2x^3 -xy+7$.

• As we know that the subtraction is an arithmetic operation that represents the operation of removing objects from a collection.
• Subtraction is denoted by the minus(-) sign.
• By using the properties of subtraction, we are solving the above equation.

We are solving in the following way:

$-2x^3 -xy+7-(x^3+3xy+5)\\=> -2x^3 -xy+7-x^3-3xy-5\\=>-3x^3-4xy+2$

Hence, the solution of the above equation is$-3x^3-4xy+2$.