The cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y

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The cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y

Take this in algebraic expression in parts:

Term 1

• The square of y means we raise y to the 2nd power: y^2
• 5 times the square of y: 5y^2

Term 2

• 2 times y: 2y
• The square of 2 times y: (2y)^2 = 4y^2
• 7 divide by the square of 2 times y: 7/4y^2

The difference of these terms is written as Term 1 minus Term 2:

• 5y^2/4y^2

The cube of the difference means we raise the difference to the power of 3:
(5y^2/4y^2)^3