A circle was cut from a metal plate. The entire area of the metal plate was 5x^2+12+10 the circle that is removed has an area of x^2+2. Create an expression in factored form of how much is left after the hole is removed. Area of metal plate: 5x^2+12x+10 Circle that was removed: x^2+2

Question

Mathematics

Papa

2 May, 05:02

A circle was cut from a metal plate. The entire area of the metal plate was 5x^2+12+10 the circle that is removed has an area of x^2+2. Create an expression in factored form of how much is left after the hole is removed. Area of metal plate: 5x^2+12x+10 Circle that was removed: x^2+2

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Answers (1)

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Josue Day · Answer 1

4 (X + 1) (x + 2)

Step-by-step explanation:

metal plate: 5x²+12x+10

Circle removed: x²+2

Remain after circle removal: (5x²+12x+10) - (x²+2) = 4x² + 12x + 8

4x² + 12x + 8 = 4 (x² + 3x + 2) = 4 (X + 1) (x + 2)