A- -b- c-a-b-cab-acab-bc

The correct option is A (a×b)×cAssociative property can be expressed as: a × (b × c) = (a × b) × c Example, 4 × (2 × 3) = 4 ×(6) = 24 also, (4 × 2) × 3 = (8) × ...

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Byju's Answer

Standard VII

Mathematics

Properties of Multiplication under Integers

a× (b× c)= (a...

Question

$a \times (b \times c) =$

(a×b)×c

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ab+ac

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Solution

The correct option is A (a×b)×c
Associative property can be expressed as:
$a \times (b \times c) = (a \times b) \times c$
Example,
$4 \times (2 \times 3) = 4 \times (6) = 24$
also,
$(4 \times 2) \times 3 = (8) \times 3 = 24$

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Similar questions

Using properties of determinant, prove that:

∣ ∣ ∣ ∣ \begin{matrix} 3 a & - a + b & - a + c - b + a & 3 b & - b + c - c + a & - c + b & 3 c \end{matrix} ∣ ∣ ∣ ∣

= 3 (a + b + c) (a b + b c + c a)

Using properties of determinants, prove that:

Q. The determinant

|\begin{matrix} b^{2} - a b & b - c & b c - a c \\ a b - a^{2} & a - b & b^{2} - a b \\ b c - c a & c - a & a b - a^{2} \end{matrix}|

equals

(a)

a b c (b - c) (c - a) (a - b)

(b)

(b - c) (c - a) (a - b)

(c)

(a + b + c) (b - c) (c - a) (a - b)

(d) none of these

Q. (a − b)³ + (b − c)³ + (c − a)³ =

(a) (a + b + c) (a² + b²+ c² − ab − bc − ca)

(b) (a − b) (b − c) (c − a)

(c) 3(a − b) ( b− c) (c − a)

(d) none of these

Q. The determinants:

∣ ∣ ∣ ∣ ∣ \begin{matrix} b^{2} - a b b - c b c - a c a b - a^{2} a - b b^{2} - a b b c - a c c - a a b - a^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣

equals

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a×(b×c)=

The correct option is A (a×b)×cAssociative property can be expressed as: a×(b×c)=(a×b)×c Example, 4×(2×3)=4×(6)=24 also, (4×2)×3=(8)×3=24

$a \times (b \times c) =$

The correct option is A (a×b)×c
Associative property can be expressed as:
$a \times (b \times c) = (a \times b) \times c$
Example,
$4 \times (2 \times 3) = 4 \times (6) = 24$
also,
$(4 \times 2) \times 3 = (8) \times 3 = 24$