A 2 B 2 Factor Math

Where i 1.

A 2 b 2 factor math. A b a b b a b now divide both sides by a b therefore. Check the middle term by multiplying and compare this result with the middle term in the original expression. A b i a b i z z. Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor.

2b b now divide both sides by b therefore. B sc from dr. Bhim rao ambedkar university agra 2019 answered march 20 2018. If you know about complex numbers then you will know that z a b i z a b i.

Factor using the perfect square. We know that a b 2 a 2 b 2 2ab a b 2 a 2 b 2 2ab so a 2 b. 2 1 qed this doesn t work because in line 5 both sides of the equation are divided by a b. Whereas a 2 b 2 a b a b is very simple to factor a 2 b 2 requires the use of complex numbers.

If i sqrt 1 then a ib a ib a 2 iab iab i 2b a i 2b a 2 1 b 2 a 2 b 2 so a 2 b 2 a ib a ib but there is no other factoring with real number coefficients. A 2 b 2 ab b 2 therefore. Using a 2 b 2 a b a b a 2 b 2 a b i a b i factorization ends here. A 2 b 2 a b a b iff a 2 b 2 a 2 ab ba b 2 iff ab ba so this holds iff a and b commute.

A b b but since a b and substituting b for a therefore. A 2 b 2 a 2 b 2 a 2 b 2 a 2 b i 2.