Q - 2 Multiply the following using appropriate identities.
3. ( x + 7 ) ( x + 7 ) (2)
4. ( 3x + 1 ) ( 3x – 8 ) (3)
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Given:
The two equations are as follows:
( x + 7 ) ( x + 7 )
( 3x + 1 ) ( 3x – 8 )
To find:
The expanded form of the equations using the identities.
Solution:
Using the identity: (y + a)(y + b) = y² +y(a+b) + ab
On comparing the given equations from the identities:
We get (x+7)(x+7) = x² + x(7+7) + 49
On simplifying we get:
= x² + 14x + 49
Similarly ( 3x + 1 ) ( 3x – 8 ) = 9x² + 3x(1-8) - 8
On simplifying we get:
= 9x² - 21x -8
The equations are as follows: x² + 14x + 49 and 9x² - 21x -8
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