2 abc ab -3 cab -A- 2 a2 b2 c-6 a b2 c2B- 2 a2 b2 c-6 a2 b2 c2C- 2 a 2 bc -6 ab 2 cD- 2 ab 2 c -6 b 2 c 2

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Byju's Answer

Standard VIII

Mathematics

Expansion of (x^2 - y^2)

2 abc ab +3 c...

Question

$2 a b c (a b + 3 c a b)$ = _____

2 a^{2} b^{2} c + 6 a b^{2} c^{2}

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2 a^{2} b^{2} c + 6 a^{2} b^{2} c^{2}

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2 a^{2} b c + 6 a b^{2} c

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2 a b^{2} c + 6 b^{2} c^{2}

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Solution

The correct option is B $2 a^{2} b^{2} c + 6 a^{2} b^{2} c^{2}$
We use distributive law to multiply a monomial and a binomial, as shown below:
$(2 a b c) (a b + 3 c a b)$
$= (2 a b c \times a b)$ + $(2 a b c \times 3 c a b)$
$= 2 a^{2} b^{2} c + 6 a^{2} b^{2} c^{2}$

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2abc(ab+3cab)= _____

The correct option is B 2a2b2c+6a2b2c2We use distributive law to multiply a monomial and a binomial, as shown below: (2abc)(ab+3cab) =(2abc×ab) + (2abc×3cab) =2a2b2c+6a2b2c2

$2 a b c (a b + 3 c a b)$ = _____

The correct option is B $2 a^{2} b^{2} c + 6 a^{2} b^{2} c^{2}$
We use distributive law to multiply a monomial and a binomial, as shown below:
$(2 a b c) (a b + 3 c a b)$
$= (2 a b c \times a b)$ + $(2 a b c \times 3 c a b)$
$= 2 a^{2} b^{2} c + 6 a^{2} b^{2} c^{2}$