Expand and simplify 2(p + 2q – 3). (a) 2p + 2q - 3 (b) 2p + 4q - 3 (c) 2p + 4q – 6 (d) 2p + 2q – 6
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AarohiG:
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Answered by
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Given equation : 2( p + 2q - 3 )
Solution : -
⇒ 2( p + 2q - 3 )
As 2 is common is the p + 2q - 3, when bracket will be removed all terms will be multiplied by 2. Like 2( x + y ) = 2( x ) + 2( y ) = = 2x + 2y .
∴ 2( p ) + 2( 2q ) - 2( 3 )
⇒ ( 2 x p ) + ( 2 x 2q ) - ( 2 x 3 )
⇒ 2p + 4q - 6
∴ 2( p + 2q - 3 ) = 2p + 4q - 6.
As there is no like term, it can't be simplified. Therefore 2p + 4q - 6 is final answer.
Therefore, option C is correct.
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