Answer:
A.
Step-by-step explanation:
We are given the expression,
On re-writing the expression after borrowing 1, we have,
=
i.e. =
i.e. =
Thus, the equivalent expression after borrowing 1 from the given expression is .
Hence, option A is correct.
Answer:
C
Step-by-step explanation:
The expression given is a difference of cubes and factors as
a³ - b³ = (a - b)(a² + ab + b²)
8 = (2
)³ ⇒ a = 2
27 = (3y²)³ ⇒ b = 3y²
Hence 2 factors are
(2 - 3y²) and
((2)² + (2
× 3y²) + (3y²)²)
= (4 + 6
y² + 9
)
Hence the factored form of the expression is C