Answer:
x^3+x^2−7x−15
Step-by-step explanation:
(x−3)(x^2+4x+5)
=(x+−3)(x^2+4x+5)
=(x)(x^2)+(x)(4x)+(x)(5)+(−3)(x^2)+(−3)(4x)+(−3)(5)
=x^3+4x^2+5x−3x^2−12x−15
=x^3+x^2−7x−15
The simplest form of the expression ( x − 3 )( x^2 + 4x + 5 ) is x^3 + x^2 - 7x - 15.
An expression can be simplified by doing everything that can be done to make it simple. It can be made simple by removing the parentheses and the squares.
It is given that:
( x − 3 )( x^2 + 4x + 5 )
This can be simplified as follows:
( x − 3 )( x^2 + 4x + 5 ) = x( x^2 + 4x + 5 ) - 3( x^2 + 4x + 5 )
= x^3 + 4x^2 + 5x - 3x^2 - 12x - 15
= x^3 + x^2 - 7x - 15
This is the simplest form of the given expression. The simplest form can be given by x^3 + x^2 - 7x - 15.
Therefore, the simplest form of the expression ( x − 3 )( x^2 + 4x + 5 ) is x^3 + x^2 - 7x - 15.
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