What is 3(9x-2)^2+2(9x-2) ?

The solution to 3(9x-2)^2+2(9x-2) is 243x^2-90x+8

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simplify 3(9x-2)^2+2(9x-2)

simplify

3 (9 x - 2)^{2} + 2 (9 x - 2)

243 x^{2} - 90 x + 8

Solution steps

3 (9 x - 2)^{2} + 2 (9 x - 2)

Expand

3 (9 x - 2)^{2} : 243 x^{2} - 108 x + 12

= 243 x^{2} - 108 x + 12 + 2 (9 x - 2)

Expand

2 (9 x - 2) : 18 x - 4

= 243 x^{2} - 108 x + 12 + 18 x - 4

Group like terms

= 243 x^{2} - 108 x + 18 x + 12 - 4

Add similar elements:

- 108 x + 18 x = - 90 x

= 243 x^{2} - 90 x + 12 - 4

Subtract the numbers:

12 - 4 = 8

= 243 x^{2} - 90 x + 8

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

a^{- 3} \cdot a^{5}

(a + b) (a - b) - (a - b) (a - b)

- 8 + 16

+ 2 - 4