Question

Factorise x(x+3) +5(x+3) step by step ​

Answer 1

Answer:

$x(x + 3) + 5(x + 3) = \\ \\ = > {x}^{2} + 3x + 5x + 15 \\ \\ = > {x}^{2} + 8x + 15 \\ \\ = > {x}^{2} + 5x + 3x + 15 = 0 \\ \\ \\ = > x(x + 5) + 3(x + 5) = 0 \\ \\ \\ = >( x + 3)(x + 5) = 0 \\ \\ \\ = > x = - 3 \\ = > x = - 5$

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Answer 2

Heya!!

_______________________________

Given,

x(x+3)+5(x+3)

=>x^2 +3x+5x+15

=>x^2 +8x+15

=>x^2 +5x+3x+15=0

=>x(x+5)+3(x+5)=0

=>(x+3)(x+5)=0

=>x=−3

=>x=−5

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Some Identities:-

★ (a + b)² = a² + b² + 2ab

★ (a - b)² = a² + b² - 2ab

★ a² - b² = (a + b)(a - b)

★ (a + b)³ = a³ + b³ + 3ab(a + b)

★ (a - b)³ = a³ - b³ - 3ab(a - b)

★ a³ - b³ = (a - b)(a² + ab + b²)

★ a³ + b³ = (a + b)(a² - ab + b²)

Types of factorise:-

Greatest Common Factor.

Grouping.

Difference in Two Squares.

Sum or Difference in Two Cubes.

Trinomials.

General Trinomials