A CUBE MINUS B CUBE FORMULA
(a³ + b³) = (a + b)³ – 3ab(a + b)…………………………….(2)
Take the common term, then we get
(a³ + b³) = (a + b) <(a + b)2 – 3ab>…………………………..(3)
We know that
(a + b)2 = a² + 2ab + b²……………………….(4)
Substitute the equation (4) in equation (3).
(a³ + b³) = (a + b) <(a² + 2ab + b²) – 3ab>………………(5)
(a³ + b³) = (a + b)(a² – ab + b²)
Let us prove the above equation.
Consider a = 2 and b = 3. Substitute the value of a và b in the equation (5)
(23 + 33) = (2 + 3)(22 – 2✕3 + 32)
Consider LHS first
LHS = (23 + 33)
LHS = (8 + 27)
LHS = 35
Let us consider the RHS
RHS = (2 + 3)(22 – 2✕3 + 33)
RHS = (5)(4 – 6 + 9)
RHS = (5)(7)
RHS = 35
∴ LHS = RHS
Watch the video clip for more information on algebraic expansion

Refer more
Bạn đang xem: A cube minus b cube formula
Was this answer helpful?
5 (6)

Book a miễn phí Class
Relevant Subjects
PhysicsChemistryBiology
MathsScienceGK
JEENEETCommerce
English
Similar Questions
LCM of 42 and 63LCM of 21 và 35LCM of 5 & 25LCM of 50 and 60LCM of 9 & 21LCM of 14 and 28LCM of 3, 4 & 6LCM of 64 & 72LCM of 7 and 15LCM of 8 and 13LCM of 6 and 20LCM of 14 & 16LCM of 5, 10, 15 & 20LCM of 3 & 15LCM of 20, 25 and 30LCM of 45 & 60LCM of 15 và 24LCM of 36 and 72LCM of 9 and 18LCM of 15 và 35
Join BYJU'S Learning Program
Grade/ExamClass 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12IASCATBank ExamGATE
Xem thêm: Thủy Thủ Mặt Trăng Tập 65 Tiếng Việt, Thủy Thủ Mặt Trăng Tập 65
Submit

COURSES
EXAMSCLASSES
EXAM PREPARATIONRESOURCES
COMPANYFOLLOW US

FREE TEXTBOOK SOLUTIONS
STATE BOARDS
FOLLOW US


×
Xem thêm: Top 3 Hội Mê Chơi Lô Đề Miền Bắc Uy Tín Bạn Nên Tham Gia, Tổng Hợp Hội Chơi Lô Đề Vip Mb Hôm Nay
Book a miễn phí Class
DOWNLOAD