Question

1.(s-1/s)^2
2.(qr+8)^2
expand each expression using algebraic identities​

Answer 1

Step-by-step explanation:

Given:-

1.(s-1/s)^2

2.(qr+8)^2

To find:-

Expand each expression using algebraic identities ?

Solution:-

1) Given expression is (s-1/s)^2

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

Where a = s and b = 1/s

We know that

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

=> (s-1/s)^2

=> s^2 - 2 (s)(1/s) +(1/s)^2

=> s^2 -2(s/s) +(1/s^2)

=> s^2 -2 +(1/s^2)

(s-1/s)^2 = s^2 -2 +(1/s^2)

2) Given expression is (qr+8)^2

It is in the form of (a+b)^2

Where a = qr and b=8

We know that

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

=> (qr+8)^2

=> (qr)^2 +2(qr)(8) +8^2

=> q^2 r^2 +16qr +64

(qr+8)^2 = q^2 r^2 +16qr +64

Answer:-

1)s-1/s)^2 = s^2 -2 +(1/s^2)

2)(qr+8)^2 = q^2 r^2 +16qr +64

Used Identities:-

• (a-b)^2 = a^2-2ab+b^2

• (a+b)^2 = a^2 +2ab +b^2