Question

Factorise = a) ( l + m )^2 - ( l - m )^2
b) 9x^2y^2 -16
c) ( x^2 -2xy + y^2)- z^2
d) 25a^2 - 4b^2+28bc - 49c^2

Answer 1

⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐


==================================

✌✌✌ FACTORISATION ✌✌✌

==================================

a) (l+m)²-(l-m)²

= (l+m+l-m) (l+m-l+m)

= (2l) (2m)

= 4 lm

==================================

b) 9x²y²-16

= (3xy)²-(4)²

= (3xy+4)(3xy-4)

==================================

c) (x²-2xy+y²) -z²

= (x-y)²-(z)²

= (x-y+z) (x-y-z)

==================================

d) 25a² - 4b² + 28bc - 49c²

= (5a)²-{(2b)²-28bc+(7c)²}

= (5a)² -(2b-7c)²

= (5a+2b-7c) (5a-2b+7c)



==================================

⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐

==================================