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The expression 8x³ + 27y³ = ?
  • a)
    (2x + 3y)(4x² + 6xy + 9y²)
  • b)
    (2x + 3y)(4x² - 6xy + 9y²)
  • c)
    (2x + 3y)(4x² - 9y²)
  • d)
    (2x + 3y)(4x² + 9y²)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The expression 8x³ + 27y³ = ?a)(2x + 3y)(4x² + 6xy + 9y...
To simplify the expression 8x + 27y, we can factor out the greatest common factor, which in this case is 1.

Step 1: Identify the common factors
The expression 8x + 27y does not have any common factors other than 1.

Step 2: Factor out the GCF
Since the GCF is 1, we can skip this step.

Step 3: Write the expression in factored form
The factored form of 8x + 27y is (8x + 27y).

The factored form (8x + 27y) is not one of the options provided.

Therefore, none of the options are correct.
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Community Answer
The expression 8x³ + 27y³ = ?a)(2x + 3y)(4x² + 6xy + 9y...
This is the identity of a^3 + b^3 = (a+b)(a^2 - ab + a^2)
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The expression 8x³ + 27y³ = ?a)(2x + 3y)(4x² + 6xy + 9y²)b)(2x + 3y)(4x² - 6xy + 9y²)c)(2x + 3y)(4x² - 9y²)d)(2x + 3y)(4x² + 9y²)Correct answer is option 'B'. Can you explain this answer?
Question Description
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