Find the following products:(i) 2a3 (3a + 5b)(ii) -11a (3a + 2b)(iii

1.	Find the following products:(i) 2a3 (3a + 5b)(ii) -11a (3a + 2b)(iii) -5a (7a – 2b)(iv) -11y2 (3y + 7)
Answer» (i) 2a³ (3a + 5b) = 2a³ (3a + 5b) = (2a³ × 3a) + (2a³ × 5b) = 6a⁴ + 10a³b (ii) -11a (3a + 2b) = -11a (3a + 2b) = (-11a × 3a) + (-11a × 2b) = -33a² – 22ab (iii) -5a (7a – 2b) = -5a (7a – 2b) = (-5a × 7a) – (-5a × 2b) = -35a² + 10ab (iv) -11y² (3y + 7) = -11y² (3y + 7) = (-11y² × 3y) + (-11y² × 7) = -33y³ – 77y²

Find the following products:(i) 2a3 (3a + 5b)(ii) -11a (3a + 2b)(iii) -5a (7a – 2b)(iv) -11y2 (3y + 7)

Answer»

(i) 2a³ (3a + 5b)

= 2a³ (3a + 5b)

= (2a³ × 3a) + (2a³ × 5b)

= 6a⁴ + 10a³b

(ii) -11a (3a + 2b)

= -11a (3a + 2b)

= (-11a × 3a) + (-11a × 2b)

= -33a² – 22ab

(iii) -5a (7a – 2b)

= -5a (7a – 2b)

= (-5a × 7a) – (-5a × 2b)

= -35a² + 10ab

(iv) -11y² (3y + 7)

= -11y² (3y + 7)

= (-11y² × 3y) + (-11y² × 7)

= -33y³ – 77y²

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