Question

factorise 5+(2x-3x²)(6-3x²+2x)
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Answer 1

SOLUTION :

$= \: 5 \: + \: (2x \: - {3x}^{2})$

$= \: 5 \: + \: 12x \: - \: {6x}^{3} \: + \: {4x}{2} \: - \: {18x}^{2} \: + \: {9x}^{4} \: - \: {6x}^{3}$

$\mathrm\red{Collect \: the \: like \: terms,}$

$= \: 5 \: + \: {12x}^{3} \: + \: {4x}^{2} \: - \: {18x}^{2} \: + \: {9x}^{4}$

$= \: 5 \: + \: 12x \: - \: {12x}^{3} \: - \: {14x}^{2} \: + \: {9x}^{4}$

$\mathrm\red{Using \: Commutative \: property}$

$→ \: {9x}^{4} \: - \: {12x}^{2} \: - \: {14x}^{2} \: + \: 12x \: + \: 5$

★ Concepts used in the answer :

Commutative Property :

◾Rule of Commutative Property for addition :- a + b = b + a

◾Rule of Commutative property for multiplication :- a × b = b × a

◾Examples of Commutative Property are :

• 74 + 25 = 25 + 74

• 9 + 5 = 5 + 9

• 63 × 81 = 81 × 63

• 23 × 17 = 17 × 23