Question

factorise y2 - 4y + 3
" x2 - x - 156
" 40+3x-x2​

Answer 1

Step-by-step explanation

${y}^{2} - 4y + 3 \\ {y}^{2} - (2 + 2)y + 3 \\ {y}^{2 } - 2y + 2y + 3 \\ y(y - 2) - 2(y + 3) \\y (y - 2) - 2(y -6) \\ (y - 2)(y - 6)$

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Answer 2

Answer:

1. y^2 - 4y + 3

y^2 - 3y - y + 3

y (y - 3) -1 (y - 3)

(y-1)(y-3)

2. x^2 - x - 156

x^2 -13x +12x - 156

x (x-13) +12 (x-13)

(x+12) (x-13)

3.40 + 3x - x^2

-x^2 + 3x + 40 = 0

-(x^2 - 3x - 40) = 0

x^2 - 3x - 40

x^2 - 8x + 5x - 40

x(x-8) +5(x-8)

(x+5) (x-8)

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