What is (4p^2-9p+11)-(p^2-5p+4) ?

The solution to (4p^2-9p+11)-(p^2-5p+4) is 3p^2-4p+7

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simplify (4p^2-9p+11)-(p^2-5p+4)

simplify

(4 p^{2} - 9 p + 11) - (p^{2} - 5 p + 4)

3 p^{2} - 4 p + 7

Solution steps

(4 p^{2} - 9 p + 11) - (p^{2} - 5 p + 4)

Apply rule:

(a) = a

(4 p^{2} - 9 p + 11) = 4 p^{2} - 9 p + 11

= 4 p^{2} - 9 p + 11 - (p^{2} - 5 p + 4)

Apply the distributive law:

- (a - b) = - a + b

- (p^{2} - 5 p + 4) = - p^{2} + 5 p - 4

= 4 p^{2} - 9 p + 11 - p^{2} + 5 p - 4

Group like terms

= 4 p^{2} - p^{2} - 9 p + 5 p + 11 - 4

Add similar elements:

4 p^{2} - p^{2} = 3 p^{2}

= 3 p^{2} - 9 p + 5 p + 11 - 4

Add similar elements:

- 9 p + 5 p = - 4 p

= 3 p^{2} - 4 p + 11 - 4

Subtract the numbers:

11 - 4 = 7

= 3 p^{2} - 4 p + 7

(x + 3) (x + 10)

- 6 u - 2 (- 7 u + 10)

\frac{1}{2} t^{2}

\frac{- 20 s}{[ ( s ^{2} + 25 ) ^{2} ]}

\frac{6 x ^{2} - x - 1}{3 x ^{2} + 25 x + 8} \cdot \frac{x ^{2} + 4 x - 32}{2 x ^{2} + 7 x - 4}

What is (4p^2-9p+11)-(p^2-5p+4) ?
The solution to (4p^2-9p+11)-(p^2-5p+4) is 3p^2-4p+7