Question

Factorise
4a^2+25b^2+20ab-10a-25b

Answer 1

SOLUTION

TO FACTORISE

$\sf{4 {a}^{2} + 25 {b}^{2} + 20ab - 10a - 25b }$

FORMULA TO BE IMPLEMENTED

$\sf{ {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab }$

EVALUATION

$\sf{4 {a}^{2} + 25 {b}^{2} + 20ab - 10a - 25b }$

$\sf{ = {(2a)}^{2} + {(5b)}^{2} + 2.2a.5b - 5(2a + 5b) }$

$\sf{ = {(2a + 5b)}^{2} - 5(2a + 5b) }$

$\sf{ = (2a + 5b) (2a + 5b - 5) }$

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