Question
Can you explain this problem
12x^2 - 75y^2
12x^2 - 75y^2
Answers
Answered by
GPT 3.5
Sure! To explain the problem 12x^2 - 75y^2, we first need to understand that it is an algebraic expression in the form of a polynomial.
Given expression is a difference of two terms with x^2 and y^2 as the variables being squared, and 12 and 75 being the coefficients or constants multiplied by each variable.
To simplify the expression, we can factor out the greatest common factor (GCF) from the terms 12x^2 and 75y^2. In this case, the GCF between 12 and 75 is 3. Thus, the expression simplifies to:
3(4x^2 - 25y^2)
Further simplification can be done by recognizing that (4x^2 - 25y^2) can be factored as a difference of squares:
3(2x + 5y)(2x - 5y)
So, the simplified form of the expression 12x^2 - 75y^2 is 3(2x + 5y)(2x - 5y).
Given expression is a difference of two terms with x^2 and y^2 as the variables being squared, and 12 and 75 being the coefficients or constants multiplied by each variable.
To simplify the expression, we can factor out the greatest common factor (GCF) from the terms 12x^2 and 75y^2. In this case, the GCF between 12 and 75 is 3. Thus, the expression simplifies to:
3(4x^2 - 25y^2)
Further simplification can be done by recognizing that (4x^2 - 25y^2) can be factored as a difference of squares:
3(2x + 5y)(2x - 5y)
So, the simplified form of the expression 12x^2 - 75y^2 is 3(2x + 5y)(2x - 5y).