Question

Solve the following algebraic expressions as directed.

11. Factorise : 15x²-26x + 8​

Answer 1

Step-by-step explanation:

Given:15x

2

−26x+8

If an equation ax^2+bx+c is to be factorised,

StepI: Calculate a×c

StepII: Divide b as sum of two numbers such that their product equals a×c

Here,

a=15

∣b∣=26

c=8

a×c=120=20×6

Also, 20+6=26

By this,

We can write given equation as,

→15x

2

−20x−6x+8

⇒5x(3x−4)−2(3x−4)

⇒(5x−2)(3x−4) ∴Answer

Answer 2

Step-by-step explanation:

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