What is (3x+1)^2-(3x+2)(3x-1) ?

The solution to (3x+1)^2-(3x+2)(3x-1) is 3x+3

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simplify (3x+1)^2-(3x+2)(3x-1)

simplify

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

3 x + 3

Solution steps

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

Expand

(3 x + 1)^{2} : 9 x^{2} + 6 x + 1

= 9 x^{2} + 6 x + 1 - (3 x + 2) (3 x - 1)

Expand

- (3 x + 2) (3 x - 1) : - 9 x^{2} - 3 x + 2

= 9 x^{2} + 6 x + 1 - 9 x^{2} - 3 x + 2

Group like terms

= 9 x^{2} - 9 x^{2} + 6 x - 3 x + 1 + 2

Add similar elements:

9 x^{2} - 9 x^{2} = 0

= 6 x - 3 x + 1 + 2

Add similar elements:

6 x - 3 x = 3 x

= 3 x + 1 + 2

Add the numbers:

1 + 2 = 3

= 3 x + 3

(i) 6 x^{3} + 7 x^{2} - x - 2

(9 x^{3} \cdot y^{5})^{2} \cdot (5 x^{5} \cdot y^{3})^{3}

w^{- 2} 9

sin^{4} (a) + sin^{2} (a) cos^{2} (a)

18 a^{5} b^{7} c^{7} - 81 a^{7} b^{5} c^{7} + 5 a^{7} b^{7} c^{5}