Question

h) 14a^2- 38ab +20b^2​

Answer 1

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Factories :-

14a²-38ab+20b²

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we will factories 14a²-38ab+20b² by splitting the middle term.

Therefore, to factories 14a²-38ab+20b², we have to write -38ab as sum of two numbers whose products is 14×30 and sum = -38.

let's factories =>

14a²-38ab+20b²

=> 14a² - 10ab - 28ab + 20b²

=> 2a( 7a - 5b) -4b( 7a - 5b)

=> (2a - 4b ) ( 7a - 5b)

So, we find our answer after factorisation =>

(2a - 4b) ( 7a - 5b )

Answer 2

*Question:

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Factorize:

14a²-38ab+20b²

*Answer:

✍️✍️✍️✍️✍️✍️

we will factories 14a²-38ab+20b² by splitting the middle term.

Therefore, to factories 14a²-38ab+20b², we have to write -38ab as sum of two numbers whose products is 14×30 and sum = -38.

let's factories =>

14a²-38ab+20b²

=> 14a² - 10ab - 28ab + 20b²

=> 2a( 7a - 5b) -4b( 7a - 5b)

=> (2a - 4b ) ( 7a - 5b)

So, we find our answer after factorisation =>

(2a - 4b) ( 7a - 5b )

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