Math, asked by priscyrock2009, 1 day ago

Find the product using the identity: (2p – 3y) 2​

Answers

Answered by pulakmath007
0

(2p - 3y)² = 4p² - 12py + 9y²

Given :

The expression (2p - 3y)²

To find :

The product using suitable identity

Identity Used :

(a - b)² = a² - 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(2p - 3y)²

Step 2 of 2 :

Find the product

We are aware of the identity that

(a - b)² = a² - 2ab + b²

Thus we get

\displaystyle \sf{  {(2p - 3y)}^{2}  }

\displaystyle \sf{   = {(2p )}^{2}   - 2 \times 2p \times 3y +  {(3y)}^{2} }

\displaystyle \sf{   =4 {p}^{2}   - 12py + 9 {y}^{2} }

∴ (2p - 3y)² = 4p² - 12py + 9y²

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