Question

Fill in the empty spaces with monomials that make each equality into an indentity.

Answer 1

a) (4 - a)^2 = 16-8a + a^2

b)  (3x − 1 )^2 = 9x^2−6x+1

Step-by-step explanation:

Here we have , to Fill in the empty spaces with monomials that make each equality into an identity.

A) (4 - ...)^2 = 16-8a + ...

We know that ,

⇒ $(4-a)^2 = 16+2(-a)(4)+a^2$       { $(a-b)^2 =a^2+2ab+b^2$   }

⇒ $(4-a)^2 = 16-8a+a^2$

Hence , empty spaces will be filled by  (4 - a)^2 = 16-8a + a^2

B) (3x − ...)^2 = 9x^2−6x+1

We know that ,

⇒ $(3x-1)^2 = 9x^2+2(3x)(-1)+1$       { $(a-b)^2 =a^2+2ab+b^2$   }

⇒ $(3x-1)^2 = 9x^2-6x+1$

Hence , empty spaces will be filled by (3x − 1 )^2 = 9x^2−6x+1