Question

Multiply: (2p-5)(2p-5)​

Answer 1

Given : (2p - 5)(2p - 5)

To Find : Multiply

Solution:

(2p - 5)(2p - 5)

= (2p - 5)²

using (a - b)² = a² - 2ab + b²

a = 2p

b = 5

= ( 2p)² - 2(2p)(5) + 5²

= 4p² - 20p  + 25

(2p - 5)(2p - 5) = 4p² - 20p  + 25

Another method :

Using Distributive  property

(2p - 5)(2p - 5)

= (2p - 5) 2p  -  (2p - 5)5

= 2p * 2p - 5 * 2p  - 2p * 5  + 5 * 5

= 4p²  - 10p - 10p + 25

= 4p² - 20p  + 25

(2p - 5)(2p - 5) = 4p² - 20p  + 25

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Answer 2

Multiplication

Given:

(2p - 5)(2p - 5)​

To Find:

The product of the given expression.

Solution:

We can either find its product by using an algebraic identity or by simple bracket multiplication. Let us have a look at both the ways.

(1) Using an algebraic identity:

    $(2p - 5)(2p - 5) = (2p - 5) ^ {2} \\\\\text { Using algebraic identity: } (a \ - \ b)^{2} = a^{2} - \ 2ab \ + b^{2} \\\\(2p - 5) ^ {2} = (2p)^{2} \ - 2(2p)(5) \ + (5)^{2}\\\\= 4p^{2} \ - \ 20p \ + \ 25$

(2) Using bracket multiplication:

    $(2p - 5)(2p - 5) = 4p^{2} \ - 10p \ - \ 10p \ + \ 25\\\\= 4p^{2} \ - \ 20p \ + \ 25$

Final Answer:

The product of the given expression is 4p² - 20p + 25.

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