ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 11 Factorisation Ex 11.3

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 11 Factorisation Ex 11.3

Question 1.
Factorise the following expressions using algebraic identities:
(i) x² – 12x + 36
(ii) 36p² – 60pq + 25q²
(iii) 9y² + 66xy + 121y²
(iv) a⁴ + 6a²b² + 9b⁴
(v) x² + \(\frac{1}{x^{2}}\) + 2
(vi) x² + x + \(\frac{1}{4}\)
Solution:

Factorise the following (2 to 13) expressions:
Question 2.
(i) 4p² – 9
(ii) 4x² – 169y²
Solution:

Question 3.
(i) 9x²y² – 25
(ii) 16x² – \(\frac{1}{144}\)
Solution:

Question 4.
(i) 20x² – 45y²
(ii) \(\frac{9}{16}\) – 25a²b²
Solution:

Question 5.
(i) (2a + 3b)² – 16c²
(ii) 1 – (b – c)²
Solution:

Question 6.
(i) 9 (x + y)² – x²
(ii) (2m + 3n)² – (3m + 2n)²
Solution:

Question 7.
(i) 25 (a + b)² – 16 (a – b)²
(ii) 9 (3x + 2)² – 4 (2x – 1)²
Solution:

Question 8.
(i) x³ – 25x
(ii) 63p²q² – 7
Solution:

Question 9.
(i) 32a²b – 72b³
(ii) 9 (a + b)³ – 25 (a + b)
Solution:

Question 10.
(i) x² – y² – 2y – 1
(ii) p²– 4pq + 4q² – r²
Solution:

Question 11.
(i) 9x² – y² + 4y – 4
(ii) 4a² – 4b² + 4a + 1
Solution:

Question 12.
(i) 625 – p⁴
(ii) 5y⁵ – 405y
Solution:

Question 13.
(i) x⁴ – y⁴ + x² – y²
(ii) 64a² – 9b² + 42bc – 49c²
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths