Simplify- 3-53-1-53-3- 3-5 - 1-5 3-5 - 1-5

The correct option is C 8 (3.5)^3 (1.5)^3 3× 3.5 × 1.5 (3.5 1.5) =(3.5 1.5)^3 =2^3 =8 ...

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Byju's Answer

Standard IX

Mathematics

Algebraic Identities

Simplify: 3...

Question

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

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Solution

The correct option is C $8$
$(3.5)^{3} - (1.5)^{3} - 3 \times 3.5 \times 1.5 (3.5 - 1.5)$
$= (3.5 - 1.5)^{3}$
$= 2^{3}$
$= 8$

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Similar questions

Simplify

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

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

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Simplify: (3.5)3−(1.5)3−3×3.5×1.5(3.5−1.5)

The correct option is C 8(3.5)3−(1.5)3−3×3.5×1.5(3.5−1.5)=(3.5−1.5)3=23=8

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

The correct option is C $8$
$(3.5)^{3} - (1.5)^{3} - 3 \times 3.5 \times 1.5 (3.5 - 1.5)$
$= (3.5 - 1.5)^{3}$
$= 2^{3}$
$= 8$