(ii) 4y2 - 4y + 1
answer it using the appropiate identity
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Answer:
4y² - 4y + 1
To factorise this algebraic term, we will use the algebraic identity:-
(a-b)² = a² - 2ab + b²
4y² - 4y + 1
(2y)² - 2(2y)(1) + (1)²
a = 2y
b = 1
(2y - 1)²
= (2y - 1)(2y - 1) Ans
VERIFY:
(2y - 1)(2y - 1) = 4y² - 4y + 1
(2y - 1)² = 4y² - 4y + 1
[2y]² - 2(2y)(1) + (1)² = 4y² - 4y + 1
[4y² - 4y + 1] = [4y² - 4y + 1]
LHS= RHS
Hence, verified
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