Question

2x(3x^2

Answer 1

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I understand in 2 ways

i) If the Given problem is

2x(3x^2)

Remove parantheses:

2x * 3x²

Multiply the numbers 2 * 3 = 6

= 6x²x

= 6x²⁺¹ [ Apply exponent rule: x^a * x^b = x^a+b ]

= 6x³

Therefore 2x(3x² ) = 6x³

ii) If the Given problem is

2x(3x)²

= 2x (3² *x² ) [Apply exponent rule: (x * y)^a = x^a * y^a ]

= 2x * 9 x² [ Apply exponent rule x² = x * x => 3² = 3 *3 = 9 ]

= 18x²x [ Multiply numbers 9*2 = 18]

= 18 x²⁺¹ [ Apply exponent rule: x^a * x^b = x^a+b ]

= 18x³

Therefore 2x(3x)² = 18x³.

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