Question

using identities find (3x -5)^2
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Answer 1

Answer:

9x² + 25 - 30x  is the answer

Step-by-step explanation:

(3x - 5)²

(3x)² +(5)² - 2(3x)(5)

9x² + 25 - 2(15x)

9x² + 25 - 30x

Answer 2

ANSWER:

→ 9x²-30x+25

$\rule{250}{2}$

EXPLANATION:

Here this is a question from Algebric expressions, where we have to expand the given terms by using Algebric Identities. We can apply Identities on the basis of the form of the term.

$\rule{250}{2}$

The term is given:

(3x-5)²

Here we can notice that it is in the form of following Identity:

★(A-B)²=A²+B²-2AB

So let's apply this identity in given term!

$\rule{250}{2}$

→ (3x-5)²=(3x)²+(5)²-2(3x)(5)

→(3x-5)²=9x²+25-30x

→(3x-5)²=9x²-30x+25

Hence the given term is expanded by using Identity.

$\rule{250}{2}$

MORE ALGEBRIC IDENTITIES:

★(A+B)²=A²+B²+2AB

★A²-B²=(A+B)(A-B)

★(X+A)(X+B)=X²+(A+B)X+AB

$\rule{250}{2}$