Subject: Mathematics
Book: Algebraic Identities
The sum of cubes of two variables (a^3 + b^3) can be factorized using the following algebraic identity:
(a^3 + b^3) = (a + b)(a^2 - ab + b^2)
### Key Points:
1. **Expansion**: When expanded, (a + b)(a^2 - ab + b^2) reconverts to a^3 + b^3.
2. **Complementary Formula**: The difference of cubes identity is:
(a^3 - b^3) = (a - b)(a^2 + ab + b^2)
3. **Usage**: These sum and difference of cubes formulas are essential for factorizing polynomials, simplifying algebraic expressions, and solving higher-level algebra problems.
Remembering this simple formula helps in quickly dealing with cubic expressions in algebraic contexts.
A triangle has angles 60°, 60°, and 60°. What type of triangle is it?
View QuestionIf x:y = 4:5 and y:z = 2:3, what is x:z?
View QuestionIf the perimeter of a square is 40 cm, what is the area of the square?
View QuestionThe ratio of two numbers is 3:5, and their sum is 64. What are the numbers?
View QuestionIf the sum of the angles of a polygon is 1080°, how many sides does the polygon have?
View QuestionIf x^2 - 5x + 6 = 0, what are the roots?
View QuestionIf a square has a perimeter of 64 cm, what is its area?
View QuestionThe sides of a triangle are 7, 24, and 25. Is this a right triangle?
View QuestionWhat is the value of x if log(x) + log(4) = log(32)?
View QuestionThe LCM of 12 and 15 is:
View Question