(i) 2x2(x + y) - 3(x + y) = (x + y) (2x2 - 3)(ii) 5xy(5x + y) - 5y(5x + y) = 5y(5x + y) (x - 1)(iii) x(x2 + y2 - z2) + y(x2 + y2 - z2) + z(x2 + y2 - z2) = (x2 + y2 - z2) (x + y + z)(iv) ab(a2 + b2 - c2) + bc(a2+b2-c2) + ca(a2+b2 - c2) = (a2 + b2 - c2) (ab + bc + ca)

Q. 9

Factorise
(i) 2x<

Class 9th

Answer :

(i) 2x²(x + y) - 3(x + y)
   = (x + y) (2x² - 3)
(ii) 5xy(5x + y) - 5y(5x + y)
    = 5y(5x + y) (x - 1)
(iii) x(x² + y² - z²) + y(x² + y² - z²) + z(x² + y² - z²)
    = (x² + y² - z²) (x + y + z)
(iv) ab(a² + b² - c²) + bc(a²+b²-c²) + ca(a²+b²- c²)
    = (a² + b² - c²) (ab + bc + ca)

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