(5n-2)3n-(5n-2)(n-1) Is equivalent to ?

Using grouping w can write: 

(5n-2)3n-(5n-2)(n-1)=(5n-2)(3n-(n-1))=(5n-2)(2n+1)

Illustrate, using the distributive property, that (a-b)(a-b)=a^2-2ab+b^2.

(a-b)(a-b)=

a(a-b)-b(a-b)=

a^2-ab-ba+b^2=

a^2-ab-ab+b^2=

a^2-2ab+b^2 

:)

Apply the distributive law to write an equivalent form of the follows: 1.x+nx+2x 2.(x+3)(5)+(x+3)(n) 3.(x+5)(n)+(x+5)

 1.x+nx+2x = 3+n)x



 2.(x+3)(5)+(x+3)(n) = (x+3)(n+5)


 3.(x+5)(n)+(x+5) = (x+5)(n+1)


:)

Multiplying Binomials