Simplify : $(0.3 a - 0.2 b) (0.09 a^{2} + 0.06 a b + 0.04 b^{2})$

0.081 a^{3} - 0.008 b^{3}

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0.027 a^{3} - 0.008 b^{3}

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0.027 a^{3} - 0.004 b^{3}

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0.064 a^{3} - 0.008 b^{3}

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Solution

The correct option is A $0.027 a^{3} - 0.008 b^{3}$
$(0.3 a - 0.2 b) (0.09 a^{2} + 0.06 a b + 0.04 b^{2})$
$= (0.3 a - 0.2 b) ((0.3 a)^{2} + (0.3 a) (0.2 b) + (0.2 b)^{2})$
$= (0.3 a)^{3} - (0.2 b)^{3}$
$= 0.027 a^{3} - 0.08 b^{3}$

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Similar questions

Simplify

(i) ${(\frac{3}{2} x - 0.45 y)}^{2}$

(ii) $(0.3 x - 0.2 y) (0.9 a - 0.02 b)$

(iii) $(0.3 a - 0.2 b) (0.09 a^{2} + 0.06 a b + 0.04 b^{2})$

(iv) ${(0.7)}^{3} + {(0.3)}^{3} + 3 \times 0.7 \times 0.3 (0.7 + 0.3)$

(v) ${(3.5)}^{3} - {(1.5)}^{3} - 3 \times 3.5 \times 1.5 (3.5 - 1.5)$

Q. Identify the terms, their coefficients for the following expression:

0.3 a - 0.6 a b + 0.5 b

Q. Identify the terms & coefficients for each of the following expressions.

0.3 a - 0.6 a b + 0.5 b

Q. Question 1(vi)
Identify the terms, their coefficients for the following expressions:
0.3a – 0.6ab + 0.5 b

Q. Identify the terms, their coefficient for each of the following expressions.

0.3 a - 0.6 a b + 0.5 b

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Simplify : (0.3a−0.2b)(0.09a2+0.06ab+0.04b2)

The correct option is A 0.027a3−0.008b3(0.3a−0.2b)(0.09a2+0.06ab+0.04b2)=(0.3a−0.2b)((0.3a)2+(0.3a)(0.2b)+(0.2b)2)=(0.3a)3−(0.2b)3=0.027a3−0.08b3

Simplify : $(0.3 a - 0.2 b) (0.09 a^{2} + 0.06 a b + 0.04 b^{2})$

The correct option is A $0.027 a^{3} - 0.008 b^{3}$
$(0.3 a - 0.2 b) (0.09 a^{2} + 0.06 a b + 0.04 b^{2})$
$= (0.3 a - 0.2 b) ((0.3 a)^{2} + (0.3 a) (0.2 b) + (0.2 b)^{2})$
$= (0.3 a)^{3} - (0.2 b)^{3}$
$= 0.027 a^{3} - 0.08 b^{3}$