Question

Please See the Question​

Answer 1

$\huge{\bold{\boxed{\boxed{\mathfrak{\red{ANSWER}}}}}}$

$\textsf{2x^5 - 16x^4 -5x^3+ 2x + 13}$

$\huge{\bold{\boxed{\boxed{\mathbb{\red{EXPLANATION}}}}}}$

(8-3x³+5x⁴)+(7x³-5x⁴+8x)+(7-16x⁴-9x³)+(2x⁵-6x-2)

= 8+7-2-3x³+7x³-9x³+5x⁴-5x⁴-16x⁴+8x-6x + 2x⁵

$\mathbf{\underline{\underline{Step:-putting\:like\:terms\:together}}}$

= (8+7-2) + (-3x³+7x³-9x³) + (5x⁴-5x⁴-16x⁴) + (8x-6x) + 2x⁵

= (13) + (-5x³) + (-16x⁴) + (2x) + 2x⁵

= 2x⁵+ (-16x⁴)+ (-5x³)+ (2x) + 13

= 2x⁵- 16x⁴-5x³+ 2x + 13

$\huge\text{\underline{\underline{NOTE:-}}}$

→In simplifying an equation in algebra, we can only add (or subtract) like terms { terms those with the same letter raised to the same power }

Or Like terms are terms that contain the same variables raised to the same power.

$\huge\text{\underline{\underline{EXAMPLE:-}}}$

${3x^2}$  and ${7x^2}$ are like terms.

${6x^2}$ and ${9y^2}$  are not like terms, because the variable is not the same.

${7x^2}$ and ${7x^3}$ are not like terms, because here the power is not the same though the variable is same.

Answer 2

$\huge{\textsc{\red{Your\:Answer}}}}$

$\mathtt{\colorbox{\red{2x^5 - 16x^4 -5x^3+ 2x + 13}}}}}}$

$\huge{\boxed{\boxed{\textsl{\red{EXPLANATION}}}}}$

(8-3x³+5x⁴)+(7x³-5x⁴+8x)+(7-16x⁴-9x³)+(2x⁵-6x-2)

$\mathtt{\green{= 8+7-2-3x^3+7x^3- 9x^3+ 5x^4 - 5x^4 - 16x^4 + 8x-6x + 2x^5 }}}}$

$\mathbf{= (8+7-2) + (-3x^3 + 7x^3 - 9x^3) + (5x^4 - 5x^4 - 16x^4) + (8x-6x) + 2x^5 }$

$\mathtt{= 13+ (-5x^3) + (- 16x^4)+ 2x + 2x^5}}}}$

$\mathtt{\green{= 2x^5 + (- 16x^4) + (-5x^3) + 2x + 13}}}}$

$\mathtt{\colorbox{\green{= 2x^5 - 16x^4 -5x^3+ 2x + 13}}}}$