Question

evaluate withaout actual multiplication 52×48​

Answer 1

Answer:

52×48

=(50+2)(50-2)

=(50)^2-(2)^2

=2500-4

=2496

Answer 2

Given:

• Evaluate without the actual multiplication of the no. 52 × 48

To Find:

• The product of 52 × 48 by evaluating rather than doing actual multiplication.

Identity Used:

• $\sf{(a - b)(a + b) = {a}^{2} - {b}^{2} }$

Solution:

As we have to find value of 52 × 48 without doing actual multiplication, we can use our mathematical identity which is used to evaluate & find out our answer.

Let's convert 52 × 48 into the form (a - b) (a + b).

$\\ \longrightarrow\sf{52 \times 48} \\ \\ \longrightarrow\sf{(50 - 2) \times (50 + 2)}$

Now solving into the form of a² - b².

$\\ \longrightarrow\sf{( {50}^{2} ) - ( {2}^{2} )} \\ \\ \longrightarrow\sf{2500 - 4} \\ \\ \longrightarrow\sf{2496}$

Thus,

$\therefore$ The value of 52 × 48 with evaluation gives us the product 2496.