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`

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`