Find the product, using suitable properties:
$26 \times(-48)+(-48)\times(-36)$

Given:  $26 \times(-48)+(-48)\times(-36)$

To do: Find the product using suitable property

Solution:

The question is of the form $a \times b + b \times c$, where $a = 26 \ and \ b = (-48), c = -36$

First let us use Commutative property to write $a \times b = b \times a$.

This makes it easy for solving

so,$ 26 \times(-48)+(-48)\times(-36) = (-48)\times26 +(-48)\times(-36)$

Now, this is of the form $b \times a + b \times c$. 

Now let us use Distributive property of multiplication to write

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

So, $(-48)\times26 +(-48)\times(-36) = (-48)\times(26 + (- 36))$

= $(- 48)\times (-10)$

=$ 480$

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Updated on: 10-Oct-2022

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