Question

X(x+1)+(x+1)(x+2)+(x+2)(x+3) solve the equation for x​

Answer 1

`3 x^(2)` + 9
`x` + 8

(This is an expression, not an equation so you can't find x with this expression. Equations have an = sign which can help isolate x on one side to find the value of x. This is the closest thing you could do for an answer for this expression.)

Explanation:

x(x+1)+(x+1)(x+2)+(x+2)(x+3)

= (x)(x) + (x)(1) + (x)(x) + (x)(2) + (1)(x) + (1)(2) + (x)(x) + (x)(3) + (2)(x) + (2)(3)

= x^2 + x + x^2 + 2x + x+ 2 + x^2 + 3x + 2x + 6

= (x^2+x^2+x^2) + (x+2x+x+3x+2x) + (2+6)

=
`3x^(2)` + 9
`x` + 8

So first you expand the brackets and then you combine like terms.

Answer 2

3x²+9x+8

Explanation:

x²+x+x(x+2)+1(x+2)+x(x+3)+2(x+3)

x²+x+x²+2x+x+2+x²+3x+2x+6

x²+x²+x²+x+2x+x+3x+2x+2+6

3x²+9x+8