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9966 [12]
4 years ago
6

Factor. ​ 9x2−30xy+25y2 ​

Mathematics
1 answer:
Mnenie [13.5K]4 years ago
5 0

Answer:

The factor form is: \quad \left(3x-5y\right)^2

Step-by-step explanation:

When the factor of the expression is required to be found, then take the common terms, or can be done by using the standard formulas, for example, \left(a-b\right)^2=a^2-2ab+b^2

Now, here we have to find the factor of the expression:

9x^2-30xy+25y^2\\=\left(3x\right)^2-2\cdot \:3x\cdot \:5y+\left(5y\right)^2\\

So now, we can see that this is the perfect square form of:

\left(a-b\right)^2=a^2-2ab+b^2

So the given expression is factorized as follows:

\left(3x\right)^2-2\cdot \:3x\cdot \:5y+\left(5y\right)^2=\left(3x-5y\right)^2\\

Thus the factored form is:

9x^2-30xy+25y^2 = \quad \left(3x-5y\right)^2

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