10x
Find the product of
x" and verify the result for x = 1.
5
2.
Answers
Answer:
(
2
1
x
3
)(−10x)(
5
1
x
2
)=−x
6.
Step by step explanation.
Given : Expression (\frac{1}{2}x^3)(-10x)(\frac{1}{5}x^2)(
2
1
x
3
)(−10x)(
5
1
x
2
)
To find : The product of the expression ?
Solution :
Expression (\frac{1}{2}x^3)(-10x)(\frac{1}{5}x^2)(
2
1
x
3
)(−10x)(
5
1
x
2
)
Product of first two terms,
(\frac{1}{2}x^3)(-10x)(\frac{1}{5}x^2)=(-5x^4)(\frac{1}{5}x^2)(
2
1
x
3
)(−10x)(
5
1
x
2
)=(−5x
4
)(
5
1
x
2
)
Product of rest terms,
(\frac{1}{2}x^3)(-10x)(\frac{1}{5}x^2)=-x^6(
2
1
x
3
)(−10x)(
5
1
x
2
)=−x
6
Check for x=1,
Take LHS,
LHS=(\frac{1}{2}x^3)(-10x)(\frac{1}{5}x^2)LHS=(
2
1
x
3
)(−10x)(
5
1
x
2
)
LHS=(\frac{1}{2}(1)^3)(-10(1))(\frac{1}{5}(1)^2)LHS=(
2
1
(1)
3
)(−10(1))(
5
1
(1)
2
)
LHS=\frac{1}{2}\times -10\times \frac{1}{5}LHS=
2
1
×−10×
5
1
LHS=-1LHS=−1
Taking RHS,
RHS=-x^6RHS=−x
6
RHS=-(1)^6RHS=−(1)
6
RHS=-1RHS=−1
LHS=RHS