Factorization

Resolve into factors:

Factorization

Show that: 

ab(x² + 1) – x (a² + b²) = (ax – b) (bx – a)

Algebraic Identity

If a + b + c = s

Then show that 

(s – 3a)³ + (s – 3b)³ +  (s – 3c)³ =  3(s – 3a)(s – 3b)(s – 3c)

Algebraic Identity

If a + b + c = 0

Then show that a (b – c)² + b(c – a)² + c (a – b)² + 9abc = 0

Algebraic Identity

If A = b +c – 2a, B = c + a – 2b and C = a + b – 2c

Find the value of A³ + B³ + C³ – 3ABC

algebraic identity

show that:

a² (b – c) + b² (c – a) + c² (a – b) + (b – c)(c – a)(a – b) = 0

Factorization

Show that:

(a + b + c)² – a(b + c – a) – b(a + c – b) – c(a + b – c) 

= 2(a² + b² + c²)

factorization

Show that: (ax + by)² + (ay – bx)² + c²x² + c²y² 

= (a² + b² + c²) (x² + y²)

factorization

Show that: (a + b)(a² – ab + b²) – (a + c)(a² – ac + c²) 

= (b – c)(b² + bc + c²)

Factorization

Show that: (ad + bc)² + (ac – bd)² = (a² + b²) (c² + d²)

Factorization

Factorize: 1 +27x³ – 8y³ + 18xy

Factorisation

Factorize: a³ + b³ + 8c³ - 6abc

factorization

Factorize: a³ – 27b³ + c³ + 9abc

Factorization

Factorize: a (b² + c² – a²) + b(a² + c² – b²)

Factorization

Factorize: m³ – n³ –(x² –mn)(m – n)

factorization

Factorize:

3x² – 2ab – x (b – 6a)

Factorization

Factorize: ab(x² + 1) – x(a² + b²)

factorization

solution of problems in algebra from Hall

factorization

solution of problems in algebra from Hall

factorization

solution of problems in algebra from Hall