simplify using the distributive property of multiplication over addition Related: NCERT Solutions (Part - 4) - Rational Numbers?

Question

simplify using the distributive property of multiplication over addition Related:  NCERT Solutions (Part - 4) - Rational Numbers?

Answer

Simplifying using the Distributive Property of Multiplication over Addition

The distributive property of multiplication over addition states that:

a(b + c) = ab + ac

This means that when we have a multiplication problem with a sum inside the parentheses, we can distribute the multiplication over the sum by multiplying each term inside the parentheses by the outside factor. We can then simplify the resulting expression by combining like terms.

Example:

Simplify the expression 3(x + 4)

We can distribute the 3 over the sum inside the parentheses:

3(x + 4) = 3x + 12

By distributing the 3 over the sum, we have simplified the expression.

Another Example:

Simplify the expression 2(3x + 5y) - 4xy

We can distribute the 2 over the sum inside the parentheses:

2(3x + 5y) - 4xy = 6x + 10y - 4xy

We can then simplify the expression by combining like terms:

6x + 10y - 4xy = 2(3x + 5y - 2xy)

By using the distributive property and combining like terms, we have simplified the expression.

Answer

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