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

Answer:

11. $500z^{2} +400z+80$

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

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

Step-by-step 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:

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

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