9x²+16y²+25+24xy-40y-30x, Factorize the given equation.
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Solution :
9x²+16y²+25+24xy-40y-30x
=(3x)²+(4y)²+(-5)²+2*3x*4y+2*4y*(-5)
+2*(-5)*3x
*****************************************
We know the algebraic identity:
a²+b²+c²+2ab+2bc+2ca=(a+b+c)²
*****************************************
= (3x+4y-5)²
= (3x+4y-5)(3x+4y-5)
••••
9x²+16y²+25+24xy-40y-30x
=(3x)²+(4y)²+(-5)²+2*3x*4y+2*4y*(-5)
+2*(-5)*3x
*****************************************
We know the algebraic identity:
a²+b²+c²+2ab+2bc+2ca=(a+b+c)²
*****************************************
= (3x+4y-5)²
= (3x+4y-5)(3x+4y-5)
••••
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