Question
48x²+72xy+27y²
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Answer to a math question 48x²+72xy+27y²
Hester
4.8117 Answers
First, observe that the expression can potentially be factored as a perfect square trinomial. To verify this, we want to match the expression to the form a^2 + 2ab + b^2
1. Rewrite the original expression:48x^2 + 72xy + 27y^2
2. Factor out the common factor 3 from each term:
3(16x^2 + 24xy + 9y^2)
3. Recognize that the quadratic inside the parentheses can be factored:
16x^2 = (4x)^2
9y^2 = (3y)^2
24xy = 2(4x)(3y)
4. So the expression becomes:
3((4x + 3y)^2)
Therefore, the factorization is:
3(4x + 3y)^2
And the answer is:
3(4x + 3y)^2
1. Rewrite the original expression:
2. Factor out the common factor 3 from each term:
3. Recognize that the quadratic inside the parentheses can be factored:
4. So the expression becomes:
Therefore, the factorization is:
And the answer is:
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