Math, asked by criskristabel, 2 months ago

simplify (y-3)² -(y+3)²​

Answers

Answered by misscutie94
11

Answer:

Question :-

  • (y - 3)² - (y + 3)²

Answer :-

➠ (y - 3)² - (y + 3)²

➔ (y)²- 2.y.3 + (3)² - (y)² + 2.y.3 + (3)²

➔ y² - 6y + 9 - y² + 6y + 9

➔ 18

Answered by Anonymous
10

Answer:

\mathbb\purple{SOLUTION}

\mathtt\pink {=  {(y - 3)}^{2}  -  {(y + 3)}^{2} }

We apply below rule to solve this.

\mathtt\pink { ({a - b)}^{2}  =  {a}^{2}  - 2ab +  {b}^{2}  }

\mathtt\pink{ ({a + b)}^{2} =  {a}^{2}  + 2ab +  {b}^{2}  }

Now, solve the question by using these rules.

 \mathtt\pink {  = {y}^{2}  - 2 \times y \times \: 3  +  {3}^{2}  - ( {y}^{2} + 2 \times y \times 3  +  {3}^{2})  }

\mathtt\pink {= \:  {y}^{2} - 6y + 9 - ( {y}^{2} + 6y + 9)   }

 \mathtt\pink {  =  {y}^{2}  - 6y + 9 -  {y}^{2}  - 6y - 9}

\mathtt\pink {  = - 6y - 6y }

\mathtt\pink {=   - 12y}

Step-by-step explanation:

Hope this helps you.

# By Sparkly Princess

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