first binomial formula problem 2
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The first binomial formula is an important formula in mathematics!
Calculate the following binomials formulas:
a) (7a² + 1)² =
b) (1/2 e + 1/7 f)² =
answer a)
( 7a² + 1)² =
a² + 2ab + b²
(7a² • 7a²) + (2 • 7a² • 1) + (1 • 1) =
49a4 + 14a² +1
answer b)
(1/2 x + 1/7 y)² =
a² + 2ab + b²
(1/2 x • 1/2 x) + (2 • 1/2 x • –1/7 y) + (1/7 y • 1/7 y) =
1/4 x² + 2/14 xy + 1/49 y² / shorten the fraction in the central part with 2
1/4 x² + 1/7 xy + 1/49 y²
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