Question

subtract -3p² + 3p² + 3px from 3p(-p-q-r)​

Answer 1

Answer

-3p ( p + q + r + s )

Explanation

⟹ 3p( - p - q - r ) - ( -3p² + 3p² + 3px )

Taking - 1 in comman ( first term )

⟹ -3p( p + q + r ) - ( -3p² + 3p² + 3px )

Taking 3p in comman ( second term )

⟹ -3p( p + q + r ) -3p( -p + p + x )

Taking -3p in common from both the terms.

⟹ -3p [ ( p + q + r ) + ( -p + p + x )]

⟹ - 3p ( p + q + r - p + p + x )

Combining like terms

⟹ - 3p[ ( p - p + p ) + q + r + x ]

⟹ -3p ( p + q + r + s )

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Like terms refers to the term containing same variables with same power of the respective variables.

Examples of like terms:

3x³c²a and 65ac²x³

5ab and 2ba

23a³c and a³c

Note that: ab and ba are same thing as multiplication is commutative.