<h2><u>
Answers:</u></h2><h3>4a.)
</h3><h3>4b.)
</h3><h3>4c.)
</h3><h3>5b.)
</h3><h2 /><h2><u>Solution Steps:</u></h2>
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<h3 /><h3>4a.)
:</h3>
- Multiplication can be transformed into difference of squares using the rule: .
- So change the equation using the rule:
- Expand and :
- Calculate and :
So the end equation would be: .
<h3>4b.)
:</h3>
- Multiplication can be transformed into difference of squares using the rule: .
- So change the equation using the rule:
- Expand and :
- Calculate and :
So the end equation would be: .
<h3>4c.)
×
:</h3>
- Multiplication can be transformed into difference of squares using the rule: .
- So change the equation using the rule:
- Expand :
- Calculate and :
So the end equation would be: .
<h3>5b.)
: </h3>
- Consider . Multiplication can be transformed into difference of squares using the rule: .
- So change the equation using the rule:
- Expand :
- Calculate :
- Use binomial theorem to expand :
- Combine and :
- Consider . Multiplication can be transformed into difference of squares using the rule: .
So change the equation using the rule:
- Expand and :
- Calculate and :
- Combine and :
So the end equation would be: .
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