Factorise the Following: Y2 + 3y + 2 + by + 2b

Factorise the following:
y² + 3y + 2 + by + 2b

Sum

y² + 3y + 2 + by + 2b
= y² + y + 2y + 2 + by + 2b
= y² + y + by + 2y + 2 + 2b
= y(y + 1 + b) + 2(y + 1 + b)
= (y + 1 + b)(y + 2).

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Chapter 4: Factorisation - Exercise 5.2

Chapter 4 Factorisation
Exercise 5.2 | Q 2.6

Factorise.

x²− 10x + 9

Factorise.

5y²+ 5y − 10

Factorise.

p²− 7p − 44

Factorise : 24a³ + 37a² - 5a

Factorise : `1/35 + 12/35a + a^2`

Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
2x² - 7x - 15

Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
3x² + 4x - 10

Factorise : 4√3x² + 5x - 2√3

Factorise the following:
x³y³ - 8x²y² + 15xy

Factorise the following:
`6sqrt(3)x^2 - 19x + 5sqrt(3)`