I don't even know where to begin with this problem.
multiply
(2y+5w+6)(5y+5w-4)
Use the same pattern as you use in FOIL
(2y+5w+6)(5y+5w-4)
= 2y(5y) + 2y(5w) + 2y(-4) + 5w(5y) + ...
= 10y^2 + 10wy - 8y ...
combine all like terms
ok I finished the problem. Is this right?
2y(5y)+ 2y(5w) + 2y(-4) + 5w(5y) + 5w(5w)+ 5w(-4) + 6(5y) + 6(5w) + 6(-4)
then I multiplied:
10y^2 + 10wy - 8y + 25wy + 25w^2 - 20w + 30y + 30w - 24
then I combined like terms:
10y^2 + 15wy + 25w^2 + 22y + 10w - 24
final answer:
10y^2 + 25w^2 + 15wy + 22y + 10w-24
15wy should have been 35wy
To multiply the given expression, you can use the distributive property and multiply each term of the first expression by each term of the second expression.
Step 1: Multiply the first term (2y) of the first expression by each term of the second expression.
(2y) * (5y+5w-4) = 10y^2 + 10yw - 8y
Step 2: Multiply the second term (5w) of the first expression by each term of the second expression.
(5w) * (5y+5w-4) = 25wy + 25w^2 - 20w
Step 3: Multiply the third term (6) of the first expression by each term of the second expression.
(6) * (5y+5w-4) = 30y + 30w - 24
Step 4: Add up all the resulting terms from the previous steps to get the final answer.
Final answer: 10y^2 + 10yw - 8y + 25wy + 25w^2 - 20w + 30y + 30w - 24
Simplifying the expression further, we can combine like terms to make it look more organized:
Final answer: 10y^2 + (10yw - 8y + 25wy + 30y) + 25w^2 + (30w - 20w) - 24
Therefore, the simplified expression is:
Final answer: 10y^2 + 32yw + 25w^2 + 10y - 24