Question

factorize 25y^2+110y+121

Answer 1

here is the solution.

Answer 2

“The easiest way to do this”

Use the formula —

a² + 2ab + b² = (a + b)²

$\textbf{Answer :}$ (5y + 11)²

$\textbf{Solution :}$

♦ 25y² + 110y + 121

= (5y)² + 2(5y) (11) + (11)²

= (5y + 11)²


$\textbf{Conclusion :}$

If you look at it deeply,

25y² + 110y + 121

= 5×5×y×y + 2×5×y×11 + 11×11

= (5y)² + 2(5y) (11) + (11)²

Then—
according to the formula,

a² + 2ab +b²

= (5y)² + 2(5y) (11) + (11)²

Is equal to—

(a + b)²

= (5y + 11)²


•°• The answer is (5y + 11)²

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