Question

11. Find the product: (50z + 20)(10z + 4) ( 1 ) 12. Find the product: (88a + 80)(8a + 8) ( 1 ) 13. Find the product: (40y + zy)(4y + zy) ( 1 )

Answer 1

11.
`500z^(2) +400z+80`

12.
`704a^2 + 1344a + 640`

13.
`160y^2 + 44zy^2 + z^2y^2`

Explanation:

11.
`(50z + 20)(10z + 4) = ?`

Using Formula:

`(a+b) (c+d) = a(c+d)+b(c+d)`

`50z(10z+4) + 20(10z + 4) = \\\Rightarrow 500z^(2) + 200 z+200z+80\\\Rightarrow 500z^(2) +400z+80`

12.
`(88a + 80)(8a + 8) = ?`

Using Formula:

`(a+b) (c+d) = a(c+d)+b(c+d)`

`\Rightarrow 88a(8a+8) + 80(8a + 8)\\\Rightarrow 704a^2 + 704a + 640a + 640\\\Rightarrow 704a^2 + 1344a + 640`

13.
`(40y + zy)(4y + zy) = ?`

Using Formula:

`(a+b) (c+d) = a(c+d)+b(c+d)`

`\Rightarrow 40y(4y + zy) + zy(4y + zy)\\\Rightarrow 160y^2 + 40zy^2 + 4y^2z + z^2y^2\\\Rightarrow 160y^2 + 44zy^2 + z^2y^2\\`