Given:
5) The expressions are
[tex]16x+24y+32[/tex]
[tex]8(2x+3y+4)[/tex]
[tex]4(4x+24y+8)[/tex]
7) The expression is
[tex]7(3-x)+15x[/tex]
To find:
5) Whether the given expressions are equivalent.
7) simplified form of given expression.
Solution:
5)
First expression is
[tex]16x+24y+32[/tex]
Second expression is
[tex]8(2x+3y+4)[/tex]
[tex]=8(2x)+8(3y)+8(4)[/tex]
[tex]=16x+24y+32[/tex]
Third expression is
[tex]4(4x+24y+8)[/tex]
[tex]=4(4x)+4(24y)+4(8)[/tex]
[tex]=16x+96y+32[/tex]
Therefore, the simplified forms of given expressions are [tex]16x+24y+32,\ 16x+24y+32,\ 16x+96y+32[/tex] respectively. It means only first and second expressions and equivalent.
7)
We have,
[tex]7(3-x)+15x[/tex]
[tex]=7(3)+7(-x)+15x[/tex]
[tex]=21-7x+15x[/tex]
[tex]=21+8x[/tex]
Therefore, the simplified form of given expression is [tex]21+8x[/tex].
