Question

Which expression is equivalent to (f+g+h) (f+g)

Answer 1

Answer:

option A right answer in the qs

Answer 2

The required expression is f²+2gf+hf + g²+hg  

Given,

The expression, (f+g+h) (f+g).

To Find,

An expression that is equivalent to the given expression.

Solution,

This question can be solved using the following simple steps.

We will solve the given expression.

$(f+g+h) (f+g) = (f+g+h) (f) + (f+g+h) (g)\\(f+g+h) (f+g) = (f^{2} +gf+hf) + (fg+g^{2} +hg)\\(f+g+h) (f+g) = f^{2}+gf+hf + fg+g^{2}+hg \\(f+g+h) (f+g) = f^{2}+2gf+hf + g^{2}+hg$

Hence, the required expression is f²+2gf+hf + g²+hg      

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