What is the value of a3 b3 c3 3abc?

(a3 + b3 + c3 – 3abc) = (a + b + c)*(a2 + b2 + c2 – ab – bc – ac) 13. When a + b + c = 0, then a3 + b3 + c3 = 3abc 14.

What is the value of a3 b3 c3 3abc?

Hence the value of a3 + b3 + c3 −3abc is 108.

What is the cube formula?

Based on this, we can also write the volume of cube formula since cube has equal length, breadth and height. Therefore, the volume of cube formula is a × a × a = a3.

What is the equation for a 3 b 3?

The a3 – b3 formula is also known as one of the important algebraic identiy. It is read as a cube minus b cube. Its a3 – b3 formula is expressed as a3 – b3 = (a – b) (a2 + ab + b2).

What is a³?

a³-b³= (a-b)(a²+ab+ b²) is the formula. Expressed in words, the difference of the cubes of two quantities is the product of the difference of the two quantities by the “imperfect square of the sum.”

How do you factor a 3 b 3 c 3 3abc?

If a = 4.965, b = 2.343 and c = 2.622, then (a3−b3−c3−3abc)= Easy. >(x+y)3−(x−y)3 can be factorised as. Easy. >Factorise: p3(q−r)3+q3(r−p)3+r3(p−q)3. Hard. >Factorise: a3−b3−a+b. Hard. >Factorise: 64m3−342n3. Medium. >

What is 15C13?

15C13 = 15! 13!(15 – 13)! 15C13 = 1,307,674,368,000. 12,454,041,600. 15C13 = 105 .

How do you write a cube formula?

A cube has 6 equal faces, and all the faces are square-shaped. It has 8 vertices and 12 equal edges. The below figure represents a cube, where l is length, b is the breadth, and h is height and l = b = h. The length, breadth, and height represent the edges of the cube.

How do you prove a 3 b 3?

a3 – b3 = (a – b)(a2 + ab + b2) Solution: The algebraic identity a3 – b3 = (a – b)(a2 + ab + b2) is the two cubes’ identity. This can be proved by considering right hand side term.

How do you factor a 3 b 3 AB?

a3 + b3 = (a + b) (a^2 – ab + b^2 ). =(a+b)(a^2 + ab +b^2 +1).

What is a 3 plus B 3?

a3 + b3 formula is read as a cube plus b cube. It is called the sum of cubes (of two numbers) formula. Its expansion is expressed as a3 + b3 = (a + b) (a2 – ab + b2)

What is A⁴ B⁴?

(d) a⁴ – b⁴ = (a² + b²) (a² – b²) = (a – b) (a³ + a²b + ab² + b³) Special Factors. (a) (a + b + c) (bc + ca + ab) – abc = (b + c) (c + a) (a + b) (b) (a + b + c)³ – a³ – b³ – c³ = 3 (a + b) (b + c) (c + a) (c) a³ + b³ + c³ – 3abc = (a + b + c) (a² + b² + c² – ab – bc – ca) ➢ If a³ + b³ + c³ = 3abc.

What is the formula of a b )( ab?

In the algebraic formula (a+b)(a-b)= a2- b2, the terms on either side of the equals to sign are called algebraic expressions.

What is the formula for a 2 B 2?

FAQs on a2 + b2 Formula

a2 + b2 formula is known as the sum of squares formula it is read as a square plus b square. Its expansion is expressed as a2 + b2 = (a + b)2 -2ab.