Question

13.1: Equivalent Expressions

1. Complete each row with an equivalent expression in standard form or factored form.
standard form factored form
x²
x(x + 9)
x² - 18x
x(6-x)
-x² + 10x
-x(x +2.75)

Answer 1

Distributive Property: a ( b + c) = (a*b) + (a*c)

b) x(x + 9) = x*x + 9*x

= x² + 9x

c) x² - 18x

x² = x * x

18x = 18 *x

G C F = x

Greatest common factor in both the terms is 'x'.Take the common variable from both the terms.

x² - 18x = x*x - 18*x

= x (x - 18)

Standard form. Factored form

x² x*x

x² + 9x x(x +9)

x² - 18x x(x - 18)

-x² + 10x x(-x + 10) = x(10 -x)

-x² - 2.75x -x(x + 2.75)