4. Avani is the best dancer in our class
5. Please stop drawing faces on my new book
6. When does school reopen after the summer break
7. Please turn down the volume of your music system
8. Pragati loves drawing pictures of all kinds of animals
9. This is the cupboard where we keep the chalk and duster
10. How many books did you borrow from the library this week
11. Istanbul is the most important and popular city of Turkey
12. What a thrill it would be to win a trip to Switzerland
Answers
(((10•(h5))-(15•(h4)))+(30•(h2)))-(22•5h3)
STEP
2
:
Equation at the end of step
2
:
(((10•(h5))-(15•(h4)))+(2•3•5h2))-(22•5h3)
STEP
3
:
Equation at the end of step
3
:
(((10 • (h5)) - (3•5h4)) + (2•3•5h2)) - (22•5h3)
STEP
4
:
Equation at the end of step
4
:
(((2•5h5) - (3•5h4)) + (2•3•5h2)) - (22•5h3)
STEP
5
:
STEP
6
:
Pulling out like terms
6.1 Pull out like factors :
10h5 - 15h4 - 20h3 + 30h2 =
5h2 • (2h3 - 3h2 - 4h + 6)
Checking for a perfect cube :
6.2 2h3 - 3h2 - 4h + 6 is not a perfect cube
Trying to factor by pulling out :
6.3 Factoring: 2h3 - 3h2 - 4h + 6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -4h + 6
Group 2: 2h3 - 3h2
Pull out from each group separately :
Group 1: (2h - 3) • (-2)
Group 2: (2h - 3) • (h2)
-------------------
Add up the two groups :
(2h - 3) • (h2 - 2)
Which is the desired factorization (((10•(h5))-(15•(h4)))+(30•(h2)))-(22•5h3)
STEP
2
:
Equation at the end of step
2
:
(((10•(h5))-(15•(h4)))+(2•3•5h2))-(22•5h3)
STEP
3
:
Equation at the end of step
3
:
(((10 • (h5)) - (3•5h4)) + (2•3•5h2)) - (22•5h3)
STEP
4
:
Equation at the end of step
4
:
(((2•5h5) - (3•5h4)) + (2•3•5h2)) - (22•5h3)
STEP
5
:
STEP
6
:
Pulling out like terms
6.1 Pull out like factors :
10h5 - 15h4 - 20h3 + 30h2 =
5h2 • (2h3 - 3h2 - 4h + 6)
Checking for a perfect cube :
6.2 2h3 - 3h2 - 4h + 6 is not a perfect cube
Trying to factor by pulling out :
6.3 Factoring: 2h3 - 3h2 - 4h + 6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -4h + 6
Group 2: 2h3 - 3h2
Pull out from each group separately :
Group 1: (2h - 3) • (-2)
Group 2: (2h - 3) • (h2)
-------------------
Add up the two groups :
(2h - 3) • (h2 - 2)
Which is the desired factorization (((10•(h5))-(15•(h4)))+(30•(h2)))-(22•5h3)
STEP
2
:
Equation at the end of step
2
:
(((10•(h5))-(15•(h4)))+(2•3•5h2))-(22•5h3)
STEP
3
:
Equation at the end of step
3
:
(((10 • (h5)) - (3•5h4)) + (2•3•5h2)) - (22•5h3)
STEP
4
:
Equation at the end of step
4
:
(((2•5h5) - (3•5h4)) + (2•3•5h2)) - (22•5h3)
STEP
5
:
STEP
6
:
Pulling out like terms
6.1 Pull out like factors :
10h5 - 15h4 - 20h3 + 30h2 =
5h2 • (2h3 - 3h2 - 4h + 6)
Checking for a perfect cube :
6.2 2h3 - 3h2 - 4h + 6 is not a perfect cube
Trying to factor by pulling out :
6.3 Factoring: 2h3 - 3h2 - 4h + 6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -4h + 6
Group 2: 2h3 - 3h2
Pull out from each group separately :
Group 1: (2h - 3) • (-2)
Group 2: (2h - 3) • (h2)
-------------------
Add up the two groups :
(2h - 3) • (h2 - 2)
Which is the desired factorization (((10•(h5))-(15•(h4)))+(30•(h2)))-(22•5h3)
STEP
2
:
Equation at the end of step
2
:
(((10•(h5))-(15•(h4)))+(2•3•5h2))-(22•5h3)
STEP
3
:
Equation at the end of step
3
:
(((10 • (h5)) - (3•5h4)) + (2•3•5h2)) - (22•5h3)
STEP
4
:
Equation at the end of step
4
:
(((2•5h5) - (3•5h4)) + (2•3•5h2)) - (22•5h3)
STEP
5
:
STEP
6
:
Pulling out like terms
6.1 Pull out like factors :
10h5 - 15h4 - 20h3 + 30h2 =
5h2 • (2h3 - 3h2 - 4h + 6)
Checking for a perfect cube :
6.2 2h3 - 3h2 - 4h + 6 is not a perfect cube
Trying to factor by pulling out :
6.3 Factoring: 2h3 - 3h2 - 4h + 6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -4h + 6
Group 2: 2h3 - 3h2
Pull out from each group separately :
Group 1: (2h - 3) • (-2)
Group 2: (2h - 3) • (h2)
-------------------
Add up the two groups :
(2h - 3) • (h2 - 2)
Which is the desired factorization
Answer:
Correct your questions
Explanation:
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