Simplifying y^2 10y + 25 . #10; #10; y^2 10y + 25 #10; #10; = y^2 5y 5y + 25 #10; #10; = y( y 5) 5( y 5 #10;) ...

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Standard VIII

Mathematics

Division of a Polynomial by a Polynomial

Factorize y...

Question

Factorize $y^{2} - 10 y + 25$

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Solution

Simplifying $y^{2} - 10 y + 25$ .

$y^{2} - 10 y + 25$

$= y^{2} - 5 y - 5 y + 25$

$= y (y - 5) - 5 (y - 5)$

$= (y - 5) (y - 5)$

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Factorize y2−10y+25

Simplifying y2−10y+25. y2−10y+25 =y2−5y−5y+25 =y(y−5)−5(y−5) =(y−5)(y−5)

Factorize $y^{2} - 10 y + 25$

Simplifying $y^{2} - 10 y + 25$ .

$y^{2} - 10 y + 25$

$= y^{2} - 5 y - 5 y + 25$

$= y (y - 5) - 5 (y - 5)$

$= (y - 5) (y - 5)$