My name is Brad and I am a student.
This is for my grade 12 calculus class!

Factor:
x³ + 64m³ and 125p³ - q⁶

Thank you

Hi Brad,

I am going to factor a similar expression, 8x³ - 27y³

Much of factoring has to do with pattern recognition, looking at an expression or pattern and recognizing something. In the expression 8x³ - 27y³ what I see is that everything is a cube

x³ and y³ are cubes but also 8 = 2³ and 27 = 3³

Thus

8x³ - 27y³ = (2x)³ - (3y)³

I know how to factor a difference of cubes

a³ - b³ = (a - b)(a² + ab + b²)

thus

(2x)³ - (3y)³ = (2x - 3y)( 4x² + 6xy + 9y²)

Now try your two problems.

Penny