Factorise (i) 2x 2 (x + y) - 3(x + y) (ii) 5xy(5x + y) - 5y(5x + y) (iii) x(x 2 + y 2 - z 2 ) + y(x 2 + y 2 - z 2 ) + z(x 2 + y 2 - z 2 ) (iv) ab(a 2 + b 2 - c 2 ) + bc(a 2 + b 2 - c 2 ) + ca(a 2 +b 2 -c 2 )

Question

Factorise (i) 2x 2 (x + y) - 3(x + y)  (ii) 5xy(5x + y) - 5y(5x + y) (iii) x(x 2 + y 2 - z 2 ) + y(x 2 + y 2 - z 2 ) + z(x 2 + y 2 - z 2 ) (iv) ab(a 2 + b 2 - c 2 ) + bc(a 2 + b 2 - c 2 ) + ca(a 2 +b 2 -c 2 )

Philoid · Accepted 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)

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

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