iqraali
iqraali iqraali
  • 02-01-2021
  • Mathematics
contestada

16a2-400b2
factorize the expression​

Respuesta :

Dead3ill
Dead3ill Dead3ill
  • 02-01-2021

Answer:

[tex]16(a + 5b)(a - 5b)[/tex]

Step-by-step explanation:

[tex]16 {a}^{2} - 400 {b}^{2} [/tex]

[tex] = > {(4a)}^{2} - {(20b)}^{2} [/tex]

[tex] = > (4a + 20b)(4a - 20b)[/tex]

Taking 4 common from each expression gives,

[tex] = > 4(a + 5b) \times 4(a - 5b)[/tex]

[tex] = > 16(a + 5b)(a - 5b)[/tex]

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