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Basic Math Examples
2(8+3y)22(8+3y)2
Step 1
Rewrite (8+3y)2(8+3y)2 as (8+3y)(8+3y)(8+3y)(8+3y).
2((8+3y)(8+3y))2((8+3y)(8+3y))
Step 2
Step 2.1
Apply the distributive property.
2(8(8+3y)+3y(8+3y))2(8(8+3y)+3y(8+3y))
Step 2.2
Apply the distributive property.
2(8⋅8+8(3y)+3y(8+3y))2(8⋅8+8(3y)+3y(8+3y))
Step 2.3
Apply the distributive property.
2(8⋅8+8(3y)+3y⋅8+3y(3y))2(8⋅8+8(3y)+3y⋅8+3y(3y))
2(8⋅8+8(3y)+3y⋅8+3y(3y))2(8⋅8+8(3y)+3y⋅8+3y(3y))
Step 3
Step 3.1
Simplify each term.
Step 3.1.1
Multiply 88 by 88.
2(64+8(3y)+3y⋅8+3y(3y))2(64+8(3y)+3y⋅8+3y(3y))
Step 3.1.2
Multiply 33 by 88.
2(64+24y+3y⋅8+3y(3y))2(64+24y+3y⋅8+3y(3y))
Step 3.1.3
Multiply 88 by 3.
2(64+24y+24y+3y(3y))
Step 3.1.4
Rewrite using the commutative property of multiplication.
2(64+24y+24y+3⋅3y⋅y)
Step 3.1.5
Multiply y by y by adding the exponents.
Step 3.1.5.1
Move y.
2(64+24y+24y+3⋅3(y⋅y))
Step 3.1.5.2
Multiply y by y.
2(64+24y+24y+3⋅3y2)
2(64+24y+24y+3⋅3y2)
Step 3.1.6
Multiply 3 by 3.
2(64+24y+24y+9y2)
2(64+24y+24y+9y2)
Step 3.2
Add 24y and 24y.
2(64+48y+9y2)
2(64+48y+9y2)
Step 4
Apply the distributive property.
2⋅64+2(48y)+2(9y2)
Step 5
Step 5.1
Multiply 2 by 64.
128+2(48y)+2(9y2)
Step 5.2
Multiply 48 by 2.
128+96y+2(9y2)
Step 5.3
Multiply 9 by 2.
128+96y+18y2
128+96y+18y2