Question

(x+4)(1+x-2) standard form

Answer 1

To expand the expression (x+4)(1+x-2) and write it in standard form, we can use the distributive property of multiplication:

(x+4)(1+x-2) = x(1+x-2) + 4(1+x-2)

Simplifying each term in parentheses, we get:

(x+4)(1+x-2) = x^2 + x - 2x + 4 + 4x - 8

Combining like terms, we get:

(x+4)(1+x-2) = x^2 + 3x - 4

Therefore, the expanded expression in standard form is:

(x+4)(1+x-2) = x^2 + 3x - 4