Replace ∗ with a monomial to obtain an identity: (∗− 2m)^2 = 100–40m+4m^2 and (3a+2.5b)^2=9a^2+6.25b^2 + ∗

To obtain an identity replace * by 10 in first equation and * by 15ab in second equation.

Step-by-step explanation:

Monomial is an algebraic expression consisting of one term only.

Given monomial:

1)

We have to find the  value of * in above equation

Using identity

Comparing with given equation, we get

a= * , b = 2m

then apply the identity, we get

now again comparing with the given equation,

This gives * = 10 as

2)

We have to find the  value of * in above equation

Using identity

Comparing with given equation, we get

a= 3a , b = 2.5b

then apply the identity, we get

now again comparing with the given equation, we get * = 15ab

Thus, to obtain an identity replace * by 10 in first equation and * by 15ab in second equation.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6