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In math, like algebra and calculus, a product is special when it is very common and worth knowing.
Some examples area:
(x + y) = ax + ay (Distibutive Law)
(x + y)(x − y) = x2 − y2 (Difference of 2 squares)
(x + y)2 = x2 + 2xy + y2 (Square of a sum)
(x − y)2 = x2 − 2xy + y2 (Square of a difference)
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What is Special product in algebra?
7i8
What is an algebraic expression in which one term is the product of two variables?
There is no special name - other than product.
Is the sum of the square of cross and dot products equal to the square of their product?
Your question makes no sense.... What you meant to say is:Is the sum of the square of magnitude of the cross product and the square of dot product of two vectors equal to the product of the square of their magnitudes?i.e:|A x B|2 +(A .B)2 = |A|2|B|2The answer is YES. It is called Lagrange's identity and is a special case of the Binet-Cauchy identity.(Ax B) .(Cx D)+(A.D)(B.C)=(A.C)(B.D)Where A= Cand B= D.
What is the difference of finding a special products and factoring?
square the first term, plus twice the product of the first and the secon, then square the second.
Is 10x 3.14 irrational?
The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.
