Solve y=(x+1)(x+2)(x+3)(x+4)(x+5)

$$y = ( x + 1 ) ( x + 2 ) ( x + 3 ) ( x + 4 ) ( x + 5 )$$

Solve for y

$$y=\left(x+1\right)\left(x+2\right)\left(x+3\right)\left(x+4\right)\left(x+5\right)$$

Solution Steps

Use the distributive property to multiply x+1 by x+2 and combine like terms.

$$y=\left(x^{2}+3x+2\right)\left(x+3\right)\left(x+4\right)\left(x+5\right)$$

Use the distributive property to multiply x^{2}+3x+2 by x+3 and combine like terms.

$$y=\left(x^{3}+6x^{2}+11x+6\right)\left(x+4\right)\left(x+5\right)$$

Use the distributive property to multiply x^{3}+6x^{2}+11x+6 by x+4 and combine like terms.

$$y=\left(x^{4}+10x^{3}+35x^{2}+50x+24\right)\left(x+5\right)$$

Use the distributive property to multiply x^{4}+10x^{3}+35x^{2}+50x+24 by x+5 and combine like terms.

$$y=x^{5}+15x^{4}+85x^{3}+225x^{2}+274x+120$$