Factorize the following one-
8x³-2x²y-15xy²
plzz answer with full detail
Answers
Answer:
x((2x-3y)(4x+5y))
Step-by-step explanation:
8x³-2x²y-15xy²
or, x(8x²-2xy-15y²)
or, x(8x²-(12-10)xy-15y²) [splitting the middle term]
or, x(8x²-12xy+10xy-15y²)
or, x(4x(2x-3y)+5y(2x-3y))
or, x((2x-3y)(4x+5y))
hence,the factorised form is x((2x-3y)(4x+5y))..
some additional information:
Factorisation:the process of expressing a expression in terms multiple of two or more factors...
for example: 6=3*2*1 [in arithmetic]
x²-3x+4=(x-4)(x+1) [in algebra]
Step-by-step explanation:
☞ Given,
initial velocity of ball, u=0
Final velocity of ball, v=?
Distance through which the balls falls, s=20m
☞ Acceleration
a=10 \: ms −2a=10ms−2
Time of fall, t=?
☞ We know
v {}^{2} - u {}^{2} = 2asv
2
−u
2
=2as
v {}^{2} −0=2×10×20=400v
2
−0=2×10×20=400
v=20msv=20ms
☞ Now using v=u+at we have
20=0+10×t20=0+10×t
t=2st=2s