Question

Find the product using suitable identity.
405 x 505

Answer 1

Answer:

204525

Step-by-step explanation:

405 x 505 can be split into (400+5)x(500+5)

This looks like (x+a)(x+b) = x² + (a+b)x + ab

where, x=5, a=400, b=500

=5² + (400+500)5 + 400x500

=25 + (900)5 + 200000

=25+4500+200000

=204525

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Answer 2

Given: The equation is$405 \times505$.

We have to find the product of the above expression.

$\left[\mathrm{Using},(\mathrm{a}+\mathrm{b})(\mathrm{a}-\mathrm{b})=\mathrm{a}^{2}-\mathrm{b}^{2}\right]$

As we know that multiplication is a method to get the product by multiplying two or more values.

Multiplication is denoted by the symbol$(\times)$.

There are six properties of multiplication is given below:-

• Closure property of multiplication
• Commutative property of multiplication
• Associative property of multiplication
• Distributive property of multiplication over addition
• Identity property of multiplication
• Zero property of multiplication

We are solving in the following way:

Let assume,

$=>495\times505\\=>(500-5)(500+5)\\=>(500)^{2} -(5)^{2} \\=>250000-25\\=>249975$

Hence, the product of the above number will be$249975$.

NOTE:

The given equation should be$495\times505$