a2 - b2 = (a - b)(a + b)
a2 - b2 = (a - b)(a + b)
a2 - b2 = (a + b)(a - b).
(a + b)(a - b) = a2 - b2 for example if a = 10 and b = 2 12 x 8 = 96 = 100 - 4
a^7 - b^7 = (a - b)(a^6 + a^5.b + a^4.b^2 + a^3.b^3 + a^2.b^4 +a.b^5 + b^6)
The formula is: A2 - B2 = (A + B) (A - B)
a2 - b2 = (a - b)(a + b)
a2 - b2 = (a - b)(a + b)
a2 - b2 = (a + b)(a - b).
The formula to factor the difference of two squares, a2 - b2, is (a + b)(a - b).
To factor a^4 - b^4 completely, you can use the formula for the difference of squares, which states that a^2 - b^2 = (a + b)(a - b). In this case, a^4 - b^4 is a difference of squares twice: (a^2)^2 - (b^2)^2. So, you can factor it as (a^2 + b^2)(a^2 - b^2). Then, factor a^2 - b^2 further using the difference of squares formula to get (a^2 + b^2)(a + b)(a - b), which is the complete factorization of a^4 - b^4.
There is a formula for the "difference of squares." In this case, the answer is (3A + B)(3A - B)
It is a simple 'difference' formula. Altitude at 'a' altitude at 'b' Take 'a' from 'b' = displacement.
(a + b)(a - b) = a2 - b2 for example if a = 10 and b = 2 12 x 8 = 96 = 100 - 4
a^7 - b^7 = (a - b)(a^6 + a^5.b + a^4.b^2 + a^3.b^3 + a^2.b^4 +a.b^5 + b^6)
9 and 10 First the main formulas: a+b=19 a-b=1 Find out what one of the variables are. We can choose "a" or "b" from either of the two formulas. Let's choose "a" from the a-b=1 formula. a - b = 1 [formula] a-b (+b) = 1 (+b) [solve for "a" by removing "b"] a = 1+b Plug that "a" into the other formula a+b=19. a + b = 19 (1+b) +b = 19 1 + 2b = 19 1 + 2b - 1 = 19 -1 2b = 18 b = 9 Plug that into our formula solved from before for "a" a = 1 + b a = 1 + (9) a = 10
(a + 9)(a - 9)