Question

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

1. (a + b)²

2. (a - b)

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

4.(a + b)³

5.(a - b)³

6.(a + b + c)²

pa answer po
Grade 7 math​

Answer 1

Answer:

1. (a + b)² = a² +2ab + b²

2. (a - b) = a - b

3. (a + b)(a - b) = a² - b²

4.(a + b)³= a³ + 3a²b +3ab² + b³  

5.(a - b)³ = a³ - 3a²b +3ab² - b³

6.(a + b + c)²= a²+b²+c²+2ab+2bc+2ac.

Step-by-step explanation:

1.  (a + b) ²= (a + b) (a + b)

=a (a + b) + b (a + b)

=a² +ab + ab + b²

(a + b)² = a² +2ab + b²

2. (a - b) = a - b

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

=a (a - b) + b (a - b)

=a² - ab + ab - b²

(a + b)(a - b) = a² - b²

4.(a+b)³=(a+b)(a+b)(a+b)

=(a²+2ab+b²)(a+b)

=a³+2a²b+ab²+a²b+2ab²+b³

=a³+b³+3a²b+3ab²

(a + b)³= a³ + 3a²b +3ab² + b³  

5.(a-b)³=(a-b)(a-b)(a-b)

=(a²-2ab+b²)(a-b)

=a³-2a²b+ab²-a²b+2ab²-b³

=a³-b³-3a²b+3ab²

(a - b)³ = a³ - 3a²b +3ab² - b³

6.(a+b+c)²=(a+b+c)(a+b+c).

=a(a+b+c)+b(a+b+c)+c(a+b+c).

=(a²+ab+ac)+(ab+b²+bc)+(ac+bc+c²).

=a²+b²+c²+2ab+2bc+2ac.

(a + b + c)²= a²+b²+c²+2ab+2bc+2ac.