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Answer :
The expression 25x^2 - 40xy + 16y^2 can be factored as (5x - 4y)(5x - 4y).
Factorization is defined as the process of breaking down a number or polynomial into factors that when multiplied will give the same value.
The expression 25x^2 - 40xy + 16y^2 resembles the form
ax^2 + bxy + cy^2 which has factors (mx + ny)(ox + py).
Factoring polynomial expression like 25x^2 - 40xy + 16y^2 can be done by grouping method shown earlier.
Find the two pairs of numbers whose products are 25 and 16.
Taking 5 and 5, and 4 and 4 as the pair of numbers.
(5x - 4y)(5x - 4y)
Checking the product of this factors:
(5x -4y)(5x - 4y)
25x^2 - 20xy - 20xy + 16y^2
25x^2 - 40xy + 16y^2
To learn more about factoring polynomials: https://brainly.com/question/24380382
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