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3 (a) Simplify 3x (4x - 5) + 3and find its values for (i) x = 3 (ii) x=1/2​

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Answer:

Explanation:

3x (4x – 5) + 3

3x (4x – 5) + 3 = (3x × 4x) – (3x × 5) + 3

3x (4x – 5) + 3 = 12x2 – 15x + 3

Substitute the value of (i) x = 3 in 12x2 – 15x + 3

12x2 – 15x + 3

Put x = 3

⇒ 12 × (32) – (15 × 3) + 3

⇒ 12 × 9 – 45 + 3

⇒ 108 – 45 + 3

⇒ 66

Substitute the value of (ii) x =1/2 in 12x2 – 15x + 3

12x2 – 15x + 3

Put = 1/2

⇒ 12 × (1/2)2 – (15 × 1/2) + 3

⇒ 12 × 1/4 – (15 × 1/2) + 3

⇒ 3 – 15/2 + 3

⇒ 6 – 15/2

⇒ (12 – 15)/2

⇒ -3/2

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