Jimin345viz
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Learning Task 1: Find the product. Do this in your separate sheet of paper. 1. (a + b)2 4. (a + b) 2. (a - b) 5. (a - b)3 3. (a + b)(a - b) 6. (a + b + c)2 E find the product Do this in a separate sheet of paper:





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Learning Task 1 Find The Product Do This In Your Separate Sheet Of Paper 1 A B2 4 A B 2 A B 5 A B3 3 A Ba B 6 A B C2 E Find The Product Do This In A Separate Sh class=

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Diep99viz

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  • Learning Task 1: Find the product.Do this in your separate sheet of paper.

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1) (a + b)²

[tex](a+ b)^{2} = a^{2} + 2ab + b^{2} \\ = a^{2} + 2ab + 2b[/tex]

2) (a - b)

[tex] = \: a - b[/tex]

( Could not simplify further )

3) (a + b)(a - b)

[tex] = \: a^{2} - b^{2} [/tex]

4) (a + b)³

[tex] = a^{3} + 3a^{2} b + 3ab^{2} + b^{3} [/tex]

5) (a - b)³

[tex] = a^{3} - 3a^{2} b \: + 3ab^{2} - b^{3} [/tex]

6) (a + b + c)²

( Here are the solution for no.6)

Apply exponent rule: [tex]a^{b \: + \: c} = a^{b} a^{c} [/tex]

[tex](a \: + \: b \: + \: c) \: (a \: + \: b \: + \: c)[/tex]

Distributive Parentheses

[tex] aa \: + \: ab \: + ac \: + \: ba \: + \: bb \: + bc \: + ca \: + \: cb \: + \: cc[/tex]

So the answer is:

[tex]a^{2} + 2ab \: + 2ac \: + b^{2} + 2bc \: + c^{2} [/tex]

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