(6x+2)^2 by identity
Answers
Answer:
(6x
2
−5y)
2
by using (a−b)
2
=a
2
−2ab+b
2
=36x
4
+25y
2
−60x
2
y
Answer:
Given -
An Algerbric expression (6x - 5y)²
To -
Evaluate the above expression
Solution -
By using the 2nd Algerbric identity -
→ (6x -5y) = (6x)² - 2(6x)(5y) + (5y)²
→ 36x² - 60xy + 25y²
Procedure -
→ This Question is from the chapter Algebraic identites.
→ He we are given with an Algerbric expression and we have to evaluate it by using 2nd Algebraic identity which is (x - y)² = x² - 2xy + y²
→ In this first we will do the square of 6x then we will first multiply the 6x and 5y together then we will multiply it with the 2 then we Will do the square of 5y.
→ \therefore∴ The final answer is 36x² - 60xy + 25y².
Other Identities -
1. (x + y)² = x² + 2xy + y²
2. (x - y)² = x² - 2xy + y²
3. (x + y) (x - y) = x² - y²
4. (x + a) (x + b) = x² + (a + b)x + a × b
5. (x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx.
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