**New Learning Composite Mathematics SK Gupta Anubhuti Gangal Class 8 Factorisation of Algebraic Expressions Self Practice 6A Solution**

**(1) Complete the factorisation.**

(a) 4x + 8y = 4(___)

(b) 9m – 3 = 3(____)

(c) 5b^{2} – 20b = 5b (____)

(d) -3ax + 6ay = -3a (___)

(e) 3x^{2}y^{2} – xy^{2} = xy^{2}(___)

(f) 14a^{3}b – 7a^{2}b^{2} = 7a^{2}b(___)

(g) –xy – 3x = -x (___)

(h) 8x^{3} – 28x^{2}– 4x = 4x(___)

**(2) One factor is given for each polynomial. Write the other factor.**

(a) 7x + 28 = (___) (x + 4)

(b) 15y – 3 = (____) (5y – 1)

(c) 600x – x^{2} = (___) (600 –x)

(d) – 3x – 27 = (___) (x + 9)

(e) 50x^{5} – 25x^{4} + 100x^{3} = 25x^{3} (____)

(f) -3y^{2} – 9y^{3} = (___) (1 + 3y)

**(3) Factorise the following completely.**

(a) ax^{2} + ay

(b) 4a^{2} – 2a^{2}c

(c) 28p^{3} – 42p^{2}q

(d) -15p^{2} – 20pr

(e) –m^{2}n – mn^{2}

(f) 48y^{5}z^{3} – 64y^{4}z^{4}

(g) 21y^{3} – 14y^{2} – 7y

(h) 16x^{3}y^{2} – 20x^{2}y^{3} – 28x^{2}y^{2}z

**SOLUTION Number 1, 2 & 3:**

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