Simplify- 0-73-0-33-3- 0-7- 0-3 0-7 - 0-3

The correct option is D 1 (0.7)^3+(0.3)^3+3× 0.7× 0.3 (0.7 + 0.3) =(0.7 + 0.3)^3 =1^3 =1 ...

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Standard IX

Mathematics

Algebraic Identities

Simplify: 0...

Question

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

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Solution

The correct option is D $1$
$(0.7)^{3} + (0.3)^{3} + 3 \times 0.7 \times 0.3 (0.7 + 0.3)$
$= (0.7 + 0.3)^{3}$
$= 1^{3}$
$= 1$

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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. The difference

(0.7)^{2} - (0.3)^{2}

simplifies to

Q. Apply laws of exponents and simplify :

{(0.7)}^{2} \times {(0.7)}^{3}

Q. In the following table, cumulative distribution function (c.d.f.) of a r.v. X is given by

$x_{i}$	$- 3$	$- 2$	$- 1$	$0$	$1$	$2$	$3$
$F (x_{i})$	$0.1$	$0.3$	$0.6$	$0.7$	$0.8$	$0.92$	$1$

P (X = 2)

is?

Simplify
$\frac{(0.3)^{\frac{1}{3}} {(\frac{1}{27})}^{\frac{1}{4}} (9)^{\frac{1}{6}} (0.81)^{\frac{2}{3}}}{(0.9)^{\frac{2}{3}} (3)^{- \frac{1}{2}} {(\frac{1}{3})}^{- 2} (243)^{- \frac{1}{4}}}$

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Simplify: (0.7)3+(0.3)3+3×0.7×0.3(0.7+0.3)

The correct option is D 1(0.7)3+(0.3)3+3×0.7×0.3(0.7+0.3)=(0.7+0.3)3=13=1

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

The correct option is D $1$
$(0.7)^{3} + (0.3)^{3} + 3 \times 0.7 \times 0.3 (0.7 + 0.3)$
$= (0.7 + 0.3)^{3}$
$= 1^{3}$
$= 1$