Factorise by the Grouping Method: A2x2 + (Ax2 + 1) X + a

Factorise by the grouping method : a²x² + (ax² + 1) x + a

Sum

a²x² + (ax² + 1) x + a
= a²x² + a + (ax² + 1) x
= a( ax² + 1) + x( ax² + 1)
= ( a + x )( ax² + 1 )

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Factorisation by Grouping

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Chapter 5: Factorisation - Exercise 5 (A) [Page 69]

Chapter 5 Factorisation
Exercise 5 (A) | Q 12 | Page 69

Factorise by the grouping method:

ab (x² + 1) + x (a² + b²)

Factorise by the grouping method : (ax + by)² + (bx - ay)²

Factorise : xy - ay - ax + a² + bx - ab

factorise: a² + 5a + 6

factorise: x² - 10xy + 24y²

factorise: (x - 2y)² - 12(x - 2y) + 32

factorise: b(c - d)² + a(d - c) + 3(c - d)

factorise: ax² + b²y - ab² - x²y

Factorise the following by grouping the terms:
15x² + 7y - 3x - 35xy

Factorise the following by grouping the terms:

`(1)/(25x^2) + 16x^2 + (8)/(5) - 12x - (3)/(5x)`