Math, asked by manyam143, 9 months ago

using the identity (a -b)² = a² 2 a b + b ² simplify the following (x-4)² please answer me fast ​

Answers

Answered by josephtjohn
2

Answer:

(x-4)^{2}   =   x^{2} -8x+16

Step-by-step explanation:

Answered by Sudhir1188
9

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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