Test Index

BECE Mathematics 2021 Paper

Question : 4

Total: 40

(2 d)^2

2 d^2

d=3

Solution:

Concept:

The difference between two expressions means subtracting the second from the first:

(2d)^2 - 2d^2

Explanation:

Given

d = 3

First, evaluate

(2d)^2

: the square applies to both

2

and

d

because they are inside the bracket.

(2d)^2 = (2 \times 3)^2 = 6^2 = 36

Next, evaluate

2d^2

: the square applies only to

d

2d^2 = 2 \times 3^2 = 2 \times 9 = 18

Now, find the difference:

(2d)^2 - 2d^2 = 36 - 18 = 18

Answer:

The difference is

18

, which is option B.

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