26z³(32z²–18) ÷ 13z²(4z – 3), Factorize the expression and divide them as directed.
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Answered by
17
26z³ ( 32z² - 18 ) ÷ 13z²(4z - 3 )
2z ( 32z² - 18 ) ÷ ( 4z - 3 )
64z³ - 18z ÷ 4z - 3
16z² + 12z is the quotient
Remainder = 18z
Hope my answer helps!
mysticd:
plz , verify again
Answered by
63
Solution :
26z³( 32z² - 18 )/13z²( 4z - 3 )
= [ 26z³ × 2(16z² - 9 ) ]/[ 13z²(4z-3)]
= {13z² × 2z × 2[(4z)²-3²]}/[13z²(4z-3)]
=[13z² × 4z(4z+3)(4z-3)]/[13z²(4z-3)]
After cancellation , we get
= 4z( 4z + 3 )
•••
26z³( 32z² - 18 )/13z²( 4z - 3 )
= [ 26z³ × 2(16z² - 9 ) ]/[ 13z²(4z-3)]
= {13z² × 2z × 2[(4z)²-3²]}/[13z²(4z-3)]
=[13z² × 4z(4z+3)(4z-3)]/[13z²(4z-3)]
After cancellation , we get
= 4z( 4z + 3 )
•••
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