using the identity (a -b)² = a² 2 a b + b ² simplify the following (x-4)² please answer me fast
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Answer:
Step-by-step explanation:
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Question should be:
- Using the identity (a-b)² = a²-2ab + b² simplify the following (x-4)²
ANSWER:
GIVEN:
- polynomial = (x-4)²
TO FIND:
- Value of above expression.
SOLUTION:
= (x-4)²
= (x)²-2(x)(4)+(4)²
= x²-8x+16
In this way we can expand a polynomial with the help of identities.
NOTE:
Some identities:
(a+b)² = a²+b²+2ab
(a-b)² = a²+b²-2ab
(a+b)(a-b) = a²-b²
(a+b)³ = a³+b³+3ab(a+b)
(a-b)³ = a³-b³-3ab(a-b)
a³+b³ = (a+b)(a²+b²-ab)
a³-b³ = (a-b)(a²+b²+ab)
(a+b)² = (a-b)²+4ab
(a-b)² = (a+b)²-4ab
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