Question

Factorise this (5a+2)^2-(2a-1)^2

Answer 1

Answer:

hope this answer may help you

Answer 2

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FORMULA USED :-

$\: \: \: \: \: \: \boxed{ \bold{ \: \: x {}^{2} + y {}^{2} = (x + y)(x - y) \: \: }}$

$\: \: \: \: \mathtt{(5a + 2) {}^{2} - (2a - 1) {}^{2} } \\ \\ \mathtt{ = [(5a + 2) + (2a - 1)][(5a + 2) - (2a - 1)]} \\ \\ \mathtt{ = (5a + 2 + 2a - 1)(5a + 2 - 2a + 1)} \\ \\ \mathtt{ = (7a + 1)(3a + 3)}$

Again,

$\mathtt{ (7a + 1)(3a + 3)} \\ \\ \mathtt{ = 7a(3a + 3) + 1(3a + 3)} \\ \\ \mathtt{ = 21a {}^{2} + 21a + 3a + 3 } \\ \\ \mathtt{ = 21a {}^{2} + 24a + 3 }$