Question

Subtract using column method : $-5{\mathrm{x}}^2+2\mathrm{x}+1$from ${\mathrm{x}}^2-\mathrm{x}+1$

Answer 1

Step 1 : Write the subtrahend ( I.e., the algebraic expression to be subtracted)

Below the minuend ( I.e., the expression from which the subtrahend is to be subtracted ) such that the like terms are in the same column.

$$\begin{gathered} {\mathrm{x}}^2-\mathrm{x}+1 \\ -5{\mathrm{x}}^2+2\mathrm{x}+1 \end{gathered}$$

Step 2 : Change the sign of each term of subtrahend .

$$\begin{gathered} {\mathrm{x}}^2-\mathrm{x}+1 \\ -5{\mathrm{x}}^2+2\mathrm{x}+1 \\ +-- \\ \mathrm{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_} \end{gathered}$$

Step 3 : Add the two algebraic expressions.

$$\begin{gathered} {\mathrm{x}}^2-\mathrm{x}+1 \\ -5{\mathrm{x}}^2+2\mathrm{x}+1 \\ +-- \\ \mathrm{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_} \\ 6{\mathrm{x}}^2-3\mathrm{x}+0 \end{gathered}$$

Hence , $6{\mathrm{x}}^2-3\mathrm{x}$ is the difference between the given algebraic expressions.