Question

Exercise I
Fill in the blanks with suitable collective nouns.
1. Aflock of birds flew high in the sky.
2. They saw a bunch of lions at the zoo.
3. The farmer has a of cattle on his farm.
4. He ate a
of grapes today.
5. Our friend shows us a
of stamps
6. We saw a of sheep on our way home.
7. Police have arrested a of thieves.
8. She bought a of bananas from the market.
9. The of pupils are listening attentively to their teacher.
10. You can put the of tools in that box.​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

STEP

2

:

Equation at the end of step

2

:

STEP

3

:

4x2 - 100

Simplify ———————————

6 • (x + 5)

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

4x2 - 100 = 4 • (x2 - 25)

Trying to factor as a Difference of Squares:

4.2 Factoring: x2 - 25

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 25 is the square of 5

Check : x2 is the square of x1

Factorization is : (x + 5) • (x - 5)

Canceling Out :

4.3 Cancel out (x + 5) which appears on both sides of the fraction line.

Final result :

2 • (x - 5)

———————————

3