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Answer:

To factorize the expression x² - 10xy + 25² we can use the concept of perfect square trinomials. A perfect square trinomial is a trinomial that can be factored into the square of a binomial.

In this case we have the expression x² - 10xy + 25². Notice that the first term is a perfect square (x²) and the last term is also a perfect square (25²). Therefore we can rewrite the expression as:

(x - 5)²

This is because (x - 5)² = (x - 5)(x - 5 which simplifies to x² - 10x + 25 which matches our original expression.

So the factorization of x² - 10xy + 25² is (x - 5)².

Factorising x²-10xy+25²

=x² −6xy−4xy+24y

=x(x−6y)−4y(x−6y)

=(x−4y)(x−6y)

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