(-2a+5b-3c)²,Expand it, using suitable identities.
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Solution :
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We know the algebraic identity,
(x+y+z)² = x²+y²+z²+2xy+2yz+2zx
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Now ,
( -2a + 5b - 3c )²
= [ (-2a) + 5b + ( -3c ) ]²
= (-2a)²+(5b)²+(-3c)²+2(-2a)(5b)
+2(5b)(-3c)+2(-3c)(-2a)
= 4a²+25b²+9c²-20ab-30bc+12ca
•••••••
*****************************************
We know the algebraic identity,
(x+y+z)² = x²+y²+z²+2xy+2yz+2zx
*****************************************
Now ,
( -2a + 5b - 3c )²
= [ (-2a) + 5b + ( -3c ) ]²
= (-2a)²+(5b)²+(-3c)²+2(-2a)(5b)
+2(5b)(-3c)+2(-3c)(-2a)
= 4a²+25b²+9c²-20ab-30bc+12ca
•••••••
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