(a) Simplify 3x(4x−5)+3 and find its value for(i) x=3 (ii) x=21(b) Simplify a(a2+a+1)+5 and find its value for(i) a=0 (ii) a=1 (iii) a=−1

[a] (i) 3x(4x−5)+3=3×3(4×3−5)+3=9(7)+3=66(ii) 3x(4x−5)+3=3×21(4×21−5)+3=23(2−5)+3=2−3[b] (i) a(a2+a+1)+5=0+5=5(ii) a(a2+a+1)+5=1(3)+5=8(iii) a(a2+a+1)+5−1(1−1+1)+5−1+5=4

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(a) Simplify 3x(4x-5)+3 and find its value for (i) x=3

Question

(a) Simplify $3 x (4 x - 5) + 3$ and find its value for
(i) $x = 3$ (ii) $x = \frac{1}{2}$

(b) Simplify $a (a^{2} + a + 1) + 5$ and find its value for
(i) $a = 0$ (ii) $a = 1$ (iii) $a = - 1$

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(a) Simplify

3 x (4 x - 5) + 3

and find its value for
(i)

x = 3

(ii)

x = \frac{1}{2}

(b) Simplify

a (a^{2} + a + 1) + 5

and find its value for
(i)

a = 0

(ii)

a = 1

(iii)

a = - 1

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Text solutionVerified

[a] (i)

3 x (4 x - 5) + 3

= 3 \times 3 (4 \times 3 - 5) + 3

= 9 (7) + 3 = 66

(ii)

3 x (4 x - 5) + 3

= 3 \times \frac{1}{2} (4 \times \frac{1}{2} - 5) + 3

= \frac{3}{2} (2 - 5) + 3

= \frac{- 3}{2}

[b] (i)

a (a^{2} + a + 1) + 5

= 0 + 5

= 5

(ii)

a (a^{2} + a + 1) + 5

= 1 (3) + 5

= 8

(iii)

a (a^{2} + a + 1) + 5

- 1 (1 - 1 + 1) + 5

- 1 + 5

= 4

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Question Text	(a) Simplify $3 x (4 x - 5) + 3$ and find its value for (i) $x = 3$ (ii) $x = \frac{1}{2}$ (b) Simplify $a (a^{2} + a + 1) + 5$ and find its value for (i) $a = 0$ (ii) $a = 1$ (iii) $a = - 1$
Answer Type	Text solution:1
Upvotes	150

(a) Simplify 3x(4x−5)+3 and find its value for(i) x=3 (ii) x=21​(b) Simplify a(a2+a+1)+5 and find its value for(i) a=0 (ii) a=1 (iii) a=−1

Text solutionVerified

Practice questions from similar books

(a) Simplify $3 x (4 x - 5) + 3$ and find its value for
(i) $x = 3$ (ii) $x = \frac{1}{2}$

(b) Simplify $a (a^{2} + a + 1) + 5$ and find its value for
(i) $a = 0$ (ii) $a = 1$ (iii) $a = - 1$