What is (15x^2+12xy+20)-(9x^2+10xy+5) ?

The solution to (15x^2+12xy+20)-(9x^2+10xy+5) is 6x^2+2xy+15

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simplify (15x^2+12xy+20)-(9x^2+10xy+5)

simplify

(15 x^{2} + 12 x y + 20) - (9 x^{2} + 10 x y + 5)

6 x^{2} + 2 x y + 15

Solution steps

(15 x^{2} + 12 x y + 20) - (9 x^{2} + 10 x y + 5)

Apply rule:

(a) = a

(15 x^{2} + 12 x y + 20) = 15 x^{2} + 12 x y + 20

= 15 x^{2} + 12 x y + 20 - (9 x^{2} + 10 x y + 5)

Apply the distributive law:

- (a + b) = - a - b

- (9 x^{2} + 10 x y + 5) = - 9 x^{2} - 10 x y - 5

= 15 x^{2} + 12 x y + 20 - 9 x^{2} - 10 x y - 5

Group like terms

= 15 x^{2} - 9 x^{2} + 12 x y - 10 x y + 20 - 5

Add similar elements:

15 x^{2} - 9 x^{2} = 6 x^{2}

= 6 x^{2} + 12 x y - 10 x y + 20 - 5

Add similar elements:

12 x y - 10 x y = 2 x y

= 6 x^{2} + 2 x y + 20 - 5

Subtract the numbers:

20 - 5 = 15

= 6 x^{2} + 2 x y + 15

8 s - 11 s + 6 s

(3 x^{2} - 4 x + 1) (- x - 5)

(2 + 7) (2 - 7)

(2 x + 5) (3 x + 7)

\frac{2 ^{- 3} + 3 ^{- 2}}{2 ^{- 2}}

What is (15x^2+12xy+20)-(9x^2+10xy+5) ?
The solution to (15x^2+12xy+20)-(9x^2+10xy+5) is 6x^2+2xy+15