Question

(5x²+x-3)-(x²-7x+5)-(x³-3x²+2)
Simplify: Please explain in steps :)​

Answer 1

$\sf \: (5x²+x-3)-(x²-7x+5)-(x³-3x²+2)$

To solve this we will gather the like terms together. For example the terms related to x² will be gathered together between a bracket and so on. Its easy.We will solve this in a giffy xD

Let's Start

First of all change the sbke sig.ns change karlo xD

Just like this :-

$\sf \: (5x²+x-3)-(x²-7x+5)-(x³-3x²+2) \\ \\ \sf \: {5x}^{2} + x - 3 - {x}^{2} + 7x - 5 - {x}^{ 3 } + {3x}^{2} - 2 \: \: \: \: \: \: \: \: \:$

Ab like terms ko collect karlo

Like this :-

$\sf \: {5x}^{2} + x - 3 - {x}^{2} + 7x - 5 - {x}^{ 3 } + {3x}^{2} - 2 \\ \\ \sf \: {5x}^{2} - {x}^{2} + {3x}^{2} + x + 7x - 3 - 5 - 2 - {x}^{3}$

Ab b.as sare mathematical operations kardo simple xD

$\sf \: {5x}^{2} - {x}^{2} + {3x}^{2} + x + 7x - 3 - 5 - 2 - {x}^{3} \\ \\ \sf{7x}^{2} + 8x - 10 - {x}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

So your final answer will be this uppar wala xD

Easy tha na? xD