Question
Download Solution PDFFactorise 49a2 + 70ab + 25b2.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: 49a2 + 70ab + 25b2.
Formula used:
- (a + b)2 = a2 + 2ab + b2
Calculations:
We know that 49 = 72, 70 = 2 × 5 × 7, and 25 = 52
Now the equation becomes,
72a2 + (2 × 5 × 7) ab + 52b2
= (7a)2+ 2(7a) (5b) + (5b)2
As the equation represents the Property, (a+ b)2
So, (7a)2+ 2(7a) (5b) + (5b)2
= (7a+5b)2
Therefore, the correct answer is option 2.
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