What is (x+1)(x+2)+(x+3)(x+4)-2x^2-10x+1 ?

The solution to (x+1)(x+2)+(x+3)(x+4)-2x^2-10x+1 is 15

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simplify (x+1)(x+2)+(x+3)(x+4)-2x^2-10x+1

simplify

(x + 1) (x + 2) + (x + 3) (x + 4) - 2 x^{2} - 10 x + 1

15

Solution steps

(x + 1) (x + 2) + (x + 3) (x + 4) - 2 x^{2} - 10 x + 1

Expand

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

= x^{2} + 3 x + 2 + (x + 3) (x + 4) - 2 x^{2} - 10 x + 1

Expand

(x + 3) (x + 4) : x^{2} + 7 x + 12

= x^{2} + 3 x + 2 + x^{2} + 7 x + 12 - 2 x^{2} - 10 x + 1

Group like terms

= x^{2} + x^{2} - 2 x^{2} + 3 x + 7 x - 10 x + 2 + 12 + 1

Add similar elements:

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

= 3 x + 7 x - 10 x + 2 + 12 + 1

Add similar elements:

3 x + 7 x - 10 x = 0

= 2 + 12 + 1

Add the numbers:

2 + 12 + 1 = 15

= 15

\frac{x ^{3} - 8}{x ^{2} - 4 x + 4}

\frac{5}{6} \cdot \frac{3}{8}

\frac{2 x + 10}{x + 7 - 2}

(5 x + 7)^{8}

- 43

What is (x+1)(x+2)+(x+3)(x+4)-2x^2-10x+1 ?
The solution to (x+1)(x+2)+(x+3)(x+4)-2x^2-10x+1 is 15