Question

A
rectangular piece of wood has an area of
5x4 + 3x²-6x + 8. If two identical
circles are cut out of the wood and
the area of EACH circle is x²-2.
Find the area of the remaining piece
of wood.

Answer 1

Answer: $5x^4+x^2-6x+12$

Step-by-step explanation:

Given

The area of the rectangular piece of wood is $A_1=5x^4+3x^2-6x+8$

The area of each circle is $A_2=x^2-2$

Area of the remaining piece of wood

$\Rightarrow A_1-2A_2\\\Rightarrow 5x^4+3x^2-6x+8-2(x^2-2)=5x^4+x^2-6x+12$