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

The solution to (x+3)^2-(x-2)^2 is 10x+5

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

simplify

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

10 x + 5

Solution steps

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

Expand

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

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

Expand

- (x - 2)^{2} : - x^{2} + 4 x - 4

= x^{2} + 6 x + 9 - x^{2} + 4 x - 4

Group like terms

= x^{2} - x^{2} + 6 x + 4 x + 9 - 4

Add similar elements:

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

= 6 x + 4 x + 9 - 4

Add similar elements:

6 x + 4 x = 10 x

= 10 x + 9 - 4

Subtract the numbers:

9 - 4 = 5

= 10 x + 5

(\frac{3}{5 \cdot x ^{n} + 2}) \cdot x^{2} + x^{n} \cdot (1 x + 2)

\frac{( 0.6 a ^{4} \cdot b ^{3} \cdot c ^{2} )}{( 0.3 a \cdot b ^{5} \cdot c ^{7} )}

3 x^{2} - 5^{x} + 1 \cdot 2^{2} x

(n + 1)^{2} - 2 (n + 2)

tan (x) tan^{2} (x)