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Simplification & Approximation · Question 43 of 71

Question 43

EasyOriginal question

Using an identity, find 1032103^2.

Options for question 43

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 with a=100a = 100, b=3b = 3.

  2. 10000+600+9=1060910000 + 600 + 9 = 10609.

Worth noting

(100+3)2(100 + 3)^2 is not 1002+32=10009100^2 + 3^2 = 10009; the middle term 2ab=6002ab = 600 is the part students drop.

Concept
Squaring a number near 100 with (a + b)²
Typical time
35 s
Your time
—
The rule this testsPowers, roots and surds
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Ten questions from Simplification & Approximation, at your own pace.

Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.