Pre-Algebra Examples

Simplify (4x-5y)(16x^2+20xy+25y^2)
Step 1
Expand by multiplying each term in the first expression by each term in the second expression.
Step 2
Simplify terms.
Tap for more steps...
Step 2.1
Simplify each term.
Tap for more steps...
Step 2.1.1
Rewrite using the commutative property of multiplication.
Step 2.1.2
Multiply by by adding the exponents.
Tap for more steps...
Step 2.1.2.1
Move .
Step 2.1.2.2
Multiply by .
Tap for more steps...
Step 2.1.2.2.1
Raise to the power of .
Step 2.1.2.2.2
Use the power rule to combine exponents.
Step 2.1.2.3
Add and .
Step 2.1.3
Multiply by .
Step 2.1.4
Multiply by by adding the exponents.
Tap for more steps...
Step 2.1.4.1
Move .
Step 2.1.4.2
Multiply by .
Step 2.1.5
Rewrite using the commutative property of multiplication.
Step 2.1.6
Multiply by .
Step 2.1.7
Rewrite using the commutative property of multiplication.
Step 2.1.8
Multiply by .
Step 2.1.9
Rewrite using the commutative property of multiplication.
Step 2.1.10
Multiply by .
Step 2.1.11
Multiply by by adding the exponents.
Tap for more steps...
Step 2.1.11.1
Move .
Step 2.1.11.2
Multiply by .
Step 2.1.12
Rewrite using the commutative property of multiplication.
Step 2.1.13
Multiply by .
Step 2.1.14
Rewrite using the commutative property of multiplication.
Step 2.1.15
Multiply by by adding the exponents.
Tap for more steps...
Step 2.1.15.1
Move .
Step 2.1.15.2
Multiply by .
Tap for more steps...
Step 2.1.15.2.1
Raise to the power of .
Step 2.1.15.2.2
Use the power rule to combine exponents.
Step 2.1.15.3
Add and .
Step 2.1.16
Multiply by .
Step 2.2
Combine the opposite terms in .
Tap for more steps...
Step 2.2.1
Reorder the factors in the terms and .
Step 2.2.2
Subtract from .
Step 2.2.3
Add and .
Step 2.2.4
Reorder the factors in the terms and .
Step 2.2.5
Subtract from .
Step 2.2.6
Add and .