Question

when expanded , the expression (a+2b-c)^2 is equal to​

Answer 1

Answer:

when expanded, the expression (a + 2b - c)² is equal to

(a + 2b - c)² = a²+4b²-c²

Step-by-step explanation:

Answer 2

Answer:

a^2+4bc+(2ab-2bc)

Step-by-step explanation:

(a+2b-c)^2 is in the form of (A+B)^2

(A+B)^2 = A^2+B^2+2AB

here A=a;B=2b-c

A^2=a^2

A^2=(2b-c)2

(2b-c)^ is in the form of (a-b)^2

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

here a=2b;b=c

a^2=4b^2

b^2=c^2

2ab=2*2b*c

      =4bc

2AB=2*a*2b-c

      =2ab-2ac

A^2+B^2+2AB=a^2+4bc+(2ab-2bc)