Question

(a) Add: 2x(z – x – y) and 2y(z – y – x)

(b)find product

(a + b + c) (a + b – c​

Answer 1

Step-by-step explanation:

a) 2xz-2x^2-2xy + 2yz-2y^2-2xy

2xz-2x^2-2y^2+2yz-4xy

b) a(a+b-c)+b(a+b-c)+c(a+b-c)

a^2+ab-ac+ab+b^2-bc+ac+ab-c^2

a^2+b^2+c^2+3ab-bc

Answer 2

Step-by-step explanation:

ax=by=cz=k

Then, a=k1x,b=k1y,c=k1z

We also have,

ba=cb or b2=ac

Putting values of a,b and c in terms of k, we get-

b2=ac

⟹k2y=k1xk1z

⟹k2y=k1x+1z

⟹2y=1x+1z

⟹2y=x+zxz

Rearranging,we get-