Question

factorize :10a^2-83a-17

Answer 1

Here is your answer

Answer 2

$\displaystyle \bf 10 {a}^{2} - 83a - 17 = (2a - 17) (5a + 1)$

Given :

$\displaystyle \sf 10 {a}^{2} - 83a - 17$

To find :

To factorise the expression

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

$\displaystyle \sf 10 {a}^{2} - 83a - 17$

Step 2 of 2 :

Factorise the expression

$\displaystyle \sf 10 {a}^{2} - 83a - 17$

$\displaystyle \sf = 10 {a}^{2} - (85 - 2)a - 17$

$\displaystyle \sf = 10 {a}^{2} - 85a + 2a - 17$

$\displaystyle \sf = 5a(2a - 17) + 1(2a - 17)$

$\displaystyle \sf = (2a - 17) (5a + 1)$

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