Question

Please solve this question It's urgent please my friends

Answer 1

$(i) \: \: \: 52 {}^{2} = (50 + 2) {}^{2}$
$using \: (a + b) {}^{2} = a {}^{2} + b {}^{2} + 2ab$
$(50 + 2) { }^{2} = 50 {}^{2} + 2 {}^{2} + 2 \times 50 \times 2$
$250 0+ 4 + 200 = 2704$

$(ii) \: \: \: 49 {}^{2} = (50 - 1) {}^{2}$
$using \: (a - b) {}^{2} = a {}^{2} + b {}^{2} - 2ab$
$(50 - 1) { }^{2} = 50 {}^{2} + 1 {}^{2} - 2 \times 50 \times 1$
$250 0+ 1 - 100 = 2401$

$(iii) \: \: \: 103 {}^{2} = (100 + 3) {}^{2}$
$using \: (a + b) {}^{2} = a {}^{2} + b {}^{2} + 2ab$
$(100 + 3) { }^{2} = 100 {}^{2} + 3 {}^{2} + 2 \times 100 \times 3$
$10000+ 9 + 600 = 10609$