What is (x+4)^2-(x+3)(x+5)-4 ?

The solution to (x+4)^2-(x+3)(x+5)-4 is -3

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simplify (x+4)^2-(x+3)(x+5)-4

simplify

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

- 3

Solution steps

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

Expand

(x + 4)^{2} : x^{2} + 8 x + 16

= x^{2} + 8 x + 16 - (x + 3) (x + 5) - 4

Expand

- (x + 3) (x + 5) : - x^{2} - 8 x - 15

= x^{2} + 8 x + 16 - x^{2} - 8 x - 15 - 4

Group like terms

= x^{2} - x^{2} + 8 x - 8 x + 16 - 15 - 4

Add similar elements:

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

= 8 x - 8 x + 16 - 15 - 4

Add similar elements:

8 x - 8 x = 0

= 16 - 15 - 4

Subtract the numbers:

16 - 15 - 4 = - 3

= - 3

\frac{x ^{4} y ^{7}}{x ^{2} y ^{11}}

16 + 6

\frac{25}{144}

\frac{2}{5 + 3}

20 - 5