4m²+9n²+p²-12mn+6np-4pm, Factorize the given equation.
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Answer:
( -2m+3n+p )( -2m+3n+p )
Step-by-step explanation:
*********************************
We know the algebraic identity:
a²+b²+c²+2ab+2bc+2ca=(a+b+c)²
****************************************
4m²+9n²+p²-12mn+6np-4pm
= (-2m)²+(3n)²+p²+2(-2m)(3n)
+2(3n)p+2p(-2m)
= ( -2m + 3n + p )²
= (-2m+3n+p)(-2m+3n+p)
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