Question

*----------- are added or subtracted while adding or subtracting like algebric terms.*
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Answer 1

Given : ----------- are added or subtracted while adding or subtracting like algebric terms.

To FInd : Fill in the Blanks

Solution

Coefficients are added or subtracted while adding or subtracting like algebric terms.

ax²   + bx  + c  + dx²  - ex  + f  

Similar terms ax² , dx²

bx  , ex

c , f

= ax²   + dx²   + bx - ex  + c + f  

= (a + d)x²  + (b - e)x  + (c + f)

Coefficients are added or subtracted while adding or subtracting like algebric terms.

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Answer 2

Coefficients are added or subtracted while adding or subtracting like algebraic terms.

Step-by-step explanation:

Look at the given equation,

$3x^{2} +5x+8x^{2} +9+2y$

Notice that, two terms, i.e., $3x^{2}$ and $8x^{2}$ have a common variable, that is $x^{2}$.

As the variable $x^{2}$ is common to both the coefficients, they can be added or subtracted from each other to simplify the expression.

                                      $3x^{2} +8x^{2}+5x +9+2y$

                                  $=11x^{2} +5x+9+2y$

Hence, coefficients are added or subtracted while adding or subtracting like algebraic terms.