Factorise the expression and divide them as directed:
(x
2
-26x+169)➗(x-13)
Answers
Given : (x² - 26x + 13 ) ÷ ( x- 13)
To Find : Factorise the expression and divide
Solution:
(x² - 26x + 13 ) ÷ ( x- 13)
= (x - 13)² ÷ ( x- 13)
= (x - 13)
Factorization can be done using either middle split
-26x = -13x - 13x
or using (a - b)² formula
where a = x
b = 13
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Solution :-
→ (x² -26x + 169) ÷ (x - 13)
factorising the expression first,
→ x² - 13x - 13x + 169
→ x(x - 13) - 13(x - 13)
→ (x - 13)(x - 13)
now,
→ (x - 13)(x - 13) ÷ (x - 13)
→ (x - 13) (ANS.)
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