We Distribute Yet Things Multiply — Practice

Question 1

Expand (5m + 6n)².

Accepted Answer

25m² + 60mn + 36n²

Question 2

Using the identity (a + b)(a − b) = a² − b², the value of 98 × 102 is:

Accepted Answer

9996

Question 3

Which of these is the correct expansion of (a + 2)(b + 4)?

Accepted Answer

ab + 4a + 2b + 8

Question 4

In any 2 × 2 block of a calendar, the two diagonal products always differ by:

Accepted Answer

7

Question 5

Which pair has the larger product: 14 × 26 or 16 × 24?

Accepted Answer

16 × 24

Question 6

The expression (a − b)(a² + ab + b²) simplifies to:

Accepted Answer

a³ − b³

Question 7

Use a suitable identity to find 91².

Accepted Answer

8281

Question 8

Three consecutive numbers are taken. The middle one is squared and the product of the other two is subtracted from it. What is the result?

Accepted Answer

1

Practice — We Distribute Yet Things Multiply