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Question


Factorise: 25+70x+49x2


Options:
A .   (5x+7)(5x+2)
B .   (7x+5)(5x+3)
C .   (7x+5)(7x+5)
D .   (3x+7)2
Answer: Option C
:
C

Given, the expression is 25+70x+49x2.
The given expression can be rewritten as,
49x2+70x+25
Using the identity: (a+b)2=a2+2ab+b2,we get
49x2+70x+25=(7x)2+2(5)(7x)+52
=(7x+5)2
=(7x+5)(7x+5)
25+70x+49x2=(7x+5)(7x+5)



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