Can you factor a 2 b2?

So a quadratic in the form a^2 +b^2 can be factored as (a-bi)(a+bi). If a,b are both real numbers than there is no possible way to factor it then the quatratic would lack roots all together and would never pass the x-axis.

How do you factor a 3 B?

Factoring a3 + b. An expression of the form a3 + b3 is called a sum of cubes. The factored form of a3 + b3 is (a + b)(a2 – ab + b2): (a + b)(a2 – ab + b2) = a3 + a2b – a2b – ab2 + ab2 + b3 = a3 – b3.

How do you calculate A2 B2 C2?

The formula is A2 + B2 = C2, this is as simple as one leg of a triangle squared plus another leg of a triangle squared equals the hypotenuse squared.

What is the answer of A2 B2?

a2 + b2 = (a – b)2 + 2ab. (a – b)2 = a2– 2ab + b2.

How do you factor the difference of perfect squares?

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

Which are sums of perfect cubes?

A polynomial in the form a 3 + b 3 is called a sum of cubes. A polynomial in the form a 3 – b 3 is called a difference of cubes.

How do you factor A2 + B2 with complex numbers?

How do you factor a2 + b2? Whereas a2 − b2 = (a + b)(a − b) is very simple, to factor a2 +b2 requires the use of complex numbers. So a2 +b2 = (a +ib)(a −ib), but there is no other factoring with real number coefficients.

Which is the factorization of a2 + b2?

a2 +b2 doesn’t have a nice factorization over the reals, but over the complex numbers it’s the squared magnitude of a + bi, which gives the factorization (a +bi)(a − bi) = a2 +b2

What is the formula for Factor X ^ 2-1?

Rewrite 1 1 as 12 1 2. Since both terms are perfect squares, factor using the difference of squares formula, a2 −b2 = (a+b)(a−b) a 2 – b 2 = ( a + b) ( a – b) where a = x a = x and b = 1 b = 1.