can you please factorise 49a²+84ab+36b²
Answers
Answered by
3
Answer:-
(7a+6b)²
Explanation:-
49a²+84ab+36b²
=> (7a)² + 2 × 7a × 6b + (6b)²
=>(7a + 6b)²
=>(7a + 6b) (7a + 6b)
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Answered by
0
49a² + 84ab + 36b² = ( 7a + 6b ) ( 7a + 6b )
Given :
The expression 49a² + 84ab + 36b²
To find :
To factorise the expression
Formula :
(a + b)² = a² + 2ab + b²
Solution :
Step 1 of 2 :
Write down the given expression
The given expression is 49a² + 84ab + 36b²
Step 2 of 2 :
Factorise the expression
We use the formula (a + b)² = a² + 2ab + b²
Thus we get
49a² + 84ab + 36a²
= (7a)² + 2.7a.6b + (6b)²
= (7a + 6b)²
= ( 7a + 6b ) ( 7a + 6b )
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