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Maths-

General

Easy

Question

The sum of two expressions is x³-x²+3x-2. If one of them is x²+ 5x - 6, what is the
other?

hint Hint:

Addition of polynomials.
○ Always take like terms together while performing addition.
○ In subtraction of polynomials only coefficients are subtracted.

The correct answer is: Hence, the other term is x3 -2x2 - 2x + 4.

Answer

Step by step explanation:

○ Given:
Sum: x³ -x² + 3x- 2
Term: x² + 5x- 6
○ Step 1:
○ Let the other term be A.
As given sum is x³ -x² + 3x- 2
$rightwards double arrow$ A + x² + 5x- 6 = x³ -x² + 3x- 2
$rightwards double arrow$ A = x³ -x² + 3x- 2 ) - ( x² + 5x- 6 )
$rightwards double arrow$ A = x³ -x² + 3x - 2 - x² - 5x + 6
$rightwards double arrow$ A = x³ -x²- x² + 3x - 5x - 2 + 6
$rightwards double arrow$ A = x³ -2x² - 2x + 4

Final Answer:

Hence, the other term is x³ -2x² - 2x + 4.

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