Question

What is the factored form of 81x²-90x+25y²

Answer 1

Step-by-step explanation:

${81x}^{2} - 90x + {25y}^{2}$

${(9x)}^{2} - 2(9x)(5y) + {(5y)}^{2}$

${(9x - 5y)}^{2}$

$(9x - 5y)(9x - 5y)$

Answer 2

Given : 81x²-90xy+25y²  ( correct Question )

To Find : Factorize

Solution:

81x²-90xy+25y²

using middle term split

= 81x²-45xy - 45xy+25y²

= 9x(9x - 5y) - 5y(9x - 5y)

= (9x - 5y)(9x - 5y)

= (9x - 5y)²

81x²-90xy+25y² = (9x - 5y)²

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