Question

Multiply : (5x + 3x² -7) by (2 + 3x) ​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\tt: \implies 9 {x}^{3} + {21x}^{2} - 11x - 14 \\ \\ \tt: \implies Required \: answer \uparrow$

$\orange{\bold{\underline{\underline{To\:Find:}}}}$

$\tt: \implies Value \: of \: (5x + 3 {x}^{2} - 7) \times (2 + 3x)$

$\pink{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\tt: \implies Writing \: the \: given \: equation \: as \\ </p><p> \boxed{(3 {x}^{2} + 5x - 7) \times (3x + 2)}</p><p>$

$\tt: \implies In \: order \: to \: make \: the \: equation \: easier \: to \: solve \: we \: can \: write \: it \: as \\ \\ \tt: \implies \boxed{3x(3 {x}^{2} - 7) + 2(3 {x}^{2} + 5x - 7) }$

$\tt: \implies opening \: the \: brackets, \: \: (9 {x}^{3} + 15 {x}^{2} - 21x) + (6 {x}^{2} + 10x - 14) \\ \\ \tt: \implies (9 {x}^{3}) + (15 {x}^{2} + 6 {x}^{2}) + (10x - 21x) - 14 \\ \\ \tt: \implies 9 {x}^{3} + 21 {x}^{2} - 11x - 14$

$\green{\tt{\therefore{9x³+21x²-11x-14}}}$

Is the required answer