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Maths CBSE Live product
Class 9 (2026-27)
Exploring Algebraic Identities
Splitting the middle term
9.
TBQ - Find the value of the expression - I
Question:
5
m.
Find the value of \(x^3 + y^3 - 9xy + 27\), when \(x + y = -3\).
Ans
:
\((x + y)^3 =\)
Value of \(x^3 + y^3 - 9xy + 27\) \(=\)
Identity used to solve \(=\)
(x - y)³ = x³ - 3x²y + 3xy² - y³
x³ + y³ = (x + y) (x² + xy + y²)
(x + y)³ = x³ + 3x²y + 3xy² + y³
x³ - y³ = (x - y) (x² + xy + y²)
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