Question

Please help! 19/20. Will give brainliest! Spam answers will not be tolerated! Giving quadruple points!

Answer 1

${ \sf{ factorise \: \: { \underline{ \green { \tt{ {x}^{2} (x + 2) - x(x + 2) - 12(x + 2)}}}}}}$

${ \sf{ \blue{ \:taking \: (x + 2) \: common}}} \\ \\{ \dashrightarrow { \sf{ \green{(x + 2)( {x}^{2} - x - 12)}}}}$

${ \dashrightarrow{ \sf{ \green{(x + 2)( {x}^{2} - (4x - 3x) - 12)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{(x + 2)( {x}^{2} - 4x + 3x - 12)}}}}$

${ \dashrightarrow{ \green{ \sf{(x + 2)(x(x - 4) + 3(x - 4))}}}} \\ \\ { \dashrightarrow{ \underline{ \boxed{ \green{ \sf{(x + 2)(x + 3)(x - 4)}}}}}}$

Answer 2

Answer:

• (x + 2)(x - 4)(x + 3)

Step-by-step explanation:

• x²(x + 2) ‐ x(x + 2) ‐ 12(x + 2) =
• (x + 2)(x² - x - 12) =
• (x + 2)(x² - 4x + 3x - 12) =
• (x + 2)(x - 4)(x + 3)