Math, asked by krishnakhatri, 10 months ago

81a²-72ab+16b² factorise​

Answers

Answered by Shaileshkrajan
17

Step-by-step explanation:

 {81a}^{2}   - 72ab +  {16b}^{2}  \\  =  {(9a)}^{2}  - (2)(9a)(4b) +  {4b}^{2}  \\ this \: is \: in \: the \: fomat \: of \: {(a + b)}^{2}  \\ so \\  =  {(9a - 4b)}^{2} \\  = (9a - 4b)(9a - 4b)

Answered by longjamsharmila01
8

Answer:

81a²-72ab+16b²= (9a-4b)²

Step-by-step explanation:

81a²-72ab+16b²

=( 9a)² -2(9a)(4b)+(4b)²

=(9a-4b)(9a-4b)

=(9a-4b)²

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