Simplify: (5 x-3)(x+2)-(2 x+5)(4 x-3) - Vidyadip

Question

Simplify:
$(5 x-3)(x+2)-(2 x+5)(4 x-3)$

✓

Answer

To simplify, we will proceed as follows: $(5 x-3)(x+2)-(2 x+5)(4 x-3)$
$=[(5 x-3)(x+2)]-[(2 x+5)(4 x-3)]$
$=[5 x(x+2)-3(x+2)]-[2 x(4 x-3)+5(4 x-3)] \text { (Distributive law) }$
$=5 x^2+10 x-3 x-6-8 x^2+6 x-20 x+15$
$=5 x^2-8 x^2+10 x-3 x+6 x-20 x-6+15 \text { (Rearranging) }$
$=-3 x^2-7 x+9$

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