Question

A4. verify that a÷(b+c)≠(a÷b)+(a÷c)
(b);a=12,b=-2,c=-1​

Answer 1

${\large{\pmb{\sf{\underline{RequirEd \: solution...}}}}}$

Given that:

⋆ We have to verify an identity that is a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c) using the values given.

Full Solution:

~ Whenever, the question says that we have to verify an identity, We just need to put the values given i.e a = 12,b = -2,c = -1 in the identity, And then simplify it, Let's see how to solve this question!

~ Putting the values given in a ÷ (b + c) = (a ÷ b) + (a ÷ c),

➟ a ÷ (b + c) = (a ÷ b) + (a ÷ c)

➟ 12 ÷ (-2 + -1) = (12 ÷ -2) + (12 ÷ -1)

➟ 12 ÷ (-3) = (12 ÷ -2) + (12 ÷ -1)

➟ -4 = (-6) + (12 ÷ -1)

➟ -4 = (-6) + (-12)

➟ -4 ≠ -18

The final result obtained is -4 ≠ -18. What ≠ indicates? It indicates that -4 is not equal to -18.

• Henceforth, Verified that a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c) !!

${\large{\pmb{\sf{\underline{AdditioNal \: information...}}}}}$

What is a monomial?

An algebraic expression which has only one term is called a monomial.

What is a binomial?

An algebraic expression which has two terms is called a binomial.

What is a trinomial?

An algebraic expression which has three terms is called a trinomial.

What is a polynomial?

An algebraic expression which has more than 3 terms is called a polynomial.

Answer 2

⋆ We have to verify an identity that is a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c) using the values given.

$\large\blue{\underline{Solution:-}}$

~ Whenever, the question says that we have to verify an identity, We just need to put the values given i.e a = 12,b = -2,c = -1 in the identity, And then simplify it, Let's see how to solve this question!

~ Putting the values given in a ÷ (b + c) = (a ÷ b) + (a ÷ c),

$\implies$ a ÷ (b + c) = (a ÷ b) + (a ÷ c)

$\implies$ 12 ÷ (-2 + -1) = (12 ÷ -2) + (12 ÷ -1)

$\implies$ 12 ÷ (-3) = (12 ÷ -2) + (12 ÷ -1)

$\implies$ -4 = (-6) + (12 ÷ -1)

$\implies$ -4 = (-6) + (-12)

$\implies$ -4 ≠ -18

The final result obtained is -4 ≠ -18. What ≠ indicates?

→It indicates that -4 is not equal to -18.

• Henceforth,

Verified that a ÷ (b + c) = (a ÷ b) + (a ÷ c)