Q. 50

Question

In the following exercises, subtract the polynomials.

$Subtract (5 x^{2} - x + 12) from (9 x^{2} - 6 x - 20)$

Step-by-Step Solution

Verified

Answer

On subtracting $(5 x^{2} - x + 12) from (9 x^{2} - 6 x - 20)$ we get $4 x^{2} - 5 x - 32$

1Step 1. Given information

$\begin{array}{l} The given expressions are \\ (5 x^{2} - x + 12) and (9 x^{2} - 6 x - 20) \\ We have to subtract (5 x^{2} - x + 12) from (9 x^{2} - 6 x - 20) \\ i . e To find : (9 x^{2} - 6 x - 20) - (5 x^{2} - x + 12) \end{array}$

2Step 2. Subtract the polynomials

$\begin{array}{l} \Rightarrow (9 x^{2} - 6 x - 20) - (5 x^{2} - x + 12) \\ = 9 x^{2} - 6 x - 20 - 5 x^{2} + x - 12 [Rewrite without parentheses] \\ = 9 x^{2} - 5 x^{2} - 6 x + x - 20 - 12 [Combine the like terms] \\ = 4 x^{2} - 5 x - 32 [Simplify] \end{array}$

Q. 49

Q. 51

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Q. 51

In the following exercises, find the difference of the polynomials. Find the difference of w2+w-42 and w2-10w+24

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Q. 52

In the following exercise, find the difference of the polynomials. Find the difference of z2−3z−18 and z2+5z−20

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