Question

Factorice
n. x^2-2
q. 8x^3+27y^3
b. 6x^2+10x-4
e. x^2+5x+6
h. 8t^3+125
i. y^4+25y^3-70y^2
o. a^4^m-b^6^m
r. 3x^2+11x+6

Answer 1

n. x²–2 = (x+√2)(x–√2)

q. 8x³+27y³ = (2x+3y)(4x²–6xy+9y²)

b. 6x²+10x–4 = 6x²+12x–2x–4 = 6x(x+2)–2(x–2) = (x–2)(6x–2)

e. x²+5x+6 = (x+3)(x+2)

h. 8t³+125 = (2t+5)(4t²–10t+25)

i. y⁴+25y³–70y² = y²(y²+25y–70)

o. (a⁴)^m – (b^6)^m = a^(4m) – b^(6m)

r. 3x²+11x+6 = 3x²+9x+2x+6 = 3x(x+3)+2(x+3) = (x+3)(3x+2)