Question

multiply: 3x³-2x² by 2x²-x and verify the result when x = -1​

Answer 1

$\large\underline\bold{\mathcal{\orange{ANSWER}} }$

$\rm{\boxed{\sf{ \red{ \:\:\:\:\: -3 \:\:\:\:\:\:} }}}$

$\rm\underline{\underline{\bold{\pink{\mathfrak{explanation\:in\:detail:-}}}}}$

$\large\underline\bold{GIVEN:-}$

$\dashrightarrow 3x^3-2x^2 \\ \dashrightarrow 2x^2-x \\ \dashrightarrow verifying\: result \: when \: \green{x=-1}$

$\large\underline\bold{\pink{TO\:FIND:-}}$

$\rm{ multiplying \:two \:equations \: and \: verifying\:the\: results \:when\: x=-1.}$

$\large\underline{\underline\bold{ANSWER:}}$

$\therefore \: Now\: first \: multiplying \: two \: products. \\ \\ \dashrightarrow (3x^3-2x^2) \times (2x^2-x ) \\ \\ :\implies 6x^6-3x^4-4x^4+2x^3 \\ \\ \underline{ \pink{ 6x^6-3x^4-4x^4+2x^3}}$

$\therefore Now \:verifying\: by \:putting\: value \:of\: x (i.e.,. x=-1) \: \\ in the product\: obtained. \\ \\ \\ :\implies 6(-1)^6-3(-1)^4-4(-1)^4+2(-1)^3 \\ \\ :\implies 6-3-4-2 \\ \\ :\implies 3-4-2 \\ \\ :\implies -1-2 \\ \\ :\implies -3 \\ \\ :\implies rm{\underline{\underline{\bold{ \green{ -3}}}}}$

$\rm{\underline{\bold{ \underline{ \orange{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}} }$