Question

factorise9/25 Y2-49/4z2

Answer 1

$\textbf{Answer :}$

Now, 9y²/25 - 49z²/4

= (3y/5)² - (7z/2)²

= (3y/5 + 7z/2) (3y/5 - 7z/2)

= 1/10 × 1/10 × (6y + 35z) (6y - 35z)

= 1/100 (6y + 35z) (6y - 35z),

which is the required factorization.

Identity Rule -

x² - y² = (x + y) (x - y)

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