If a and b are any two integers, is (a + b)² always greater than a² + b²? If not, when is it greater? Class 8
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If a and b are any two integers, is (a + b)² always greater than a² + b²? If not, when is it greater? Class 8
Question 1.
If a and b are any two integers, is (a + b)2 always greater than a2 + b2? If not, when is it greater? Class 8
Solution:
If one of the integers a or 6 is negative.
Question 2.
Use Identity 1A to find the values of 1042, 372. (Hint : Decompose 104 and 37 into sums or differences of numbers whose squares are easy to compute.) Class 8
Solution:
1042 = (100 + 4)2
= 1002 + 2 × 100 × 4 + 42
= 10000 + 800 + 16 = 10816.
372 = (40 - 3)2 = 402 - 2 × 40 × 3 + 32
= 1600 - 240 + 9 = 1369