(6x-5y)^2=
36x-25y
6x-5y
(4x+5y)^2
16x+25y
4x+5y
Please check to see if right. If not corrected for me.
You need to expand both of these.
(6x-5y)^2=
(6x-5y)(6x-5y)
36x^2-60xy+25y^2
Now try doing the second one this way. Post if you want it checked.
(4x+5y)^2
(4x-5y)(4x+5y)
16x^2-40xy+25y^2
check this for me please
To expand a squared expression like (6x-5y)^2 or (4x+5y)^2, you need to multiply the expression by itself.
Let's start with (6x-5y)^2:
Step 1: Multiply the expression by itself using the FOIL method (First, Outer, Inner, Last):
(6x-5y)(6x-5y)
Step 2: Multiply each term of the first expression by each term of the second expression:
(6x)(6x) + (6x)(-5y) + (-5y)(6x) + (-5y)(-5y)
Step 3: Simplify each term:
36x^2 - 30xy - 30xy + 25y^2
Step 4: Combine like terms:
36x^2 - 60xy + 25y^2
Therefore, (6x-5y)^2 is equal to 36x^2 - 60xy + 25y^2.
Now let's expand (4x+5y)^2:
Step 1: Multiply the expression by itself using the FOIL method:
(4x+5y)(4x+5y)
Step 2: Multiply each term of the first expression by each term of the second expression:
(4x)(4x) + (4x)(5y) + (5y)(4x) + (5y)(5y)
Step 3: Simplify each term:
16x^2 + 20xy + 20xy + 25y^2
Step 4: Combine like terms:
16x^2 + 40xy + 25y^2
Therefore, (4x+5y)^2 is equal to 16x^2 + 40xy + 25y^2.
So, your first expression (6x-5y)^2 expands to 36x^2 - 60xy + 25y^2, and your second expression (4x+5y)^2 expands to 16x^2 + 40xy + 25y^2.