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

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

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

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

- 5 p + 9 p = 4 p

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

Subtract the numbers:

4 - 11 = - 7

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

lo g_{a} (a^{r})

lo g_{10} (1.05)

(5 + 2 x)^{2}

(x^{2} + 5 x)^{2}

(- \frac{2}{7})^{2}

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