Multiply (2/3a-3/4b)(2/3a-3/4b)

Math
(23a-34b)(23a-34b)
Simplify terms.
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Simplify each term.
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Combine 23 and a.
(2a3-34b)(23a-34b)
Combine b and 34.
(2a3-b⋅34)(23a-34b)
Move 3 to the left of b.
(2a3-3b4)(23a-34b)
(2a3-3b4)(23a-34b)
Simplify each term.
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Combine 23 and a.
(2a3-3b4)(2a3-34b)
Combine b and 34.
(2a3-3b4)(2a3-b⋅34)
Move 3 to the left of b.
(2a3-3b4)(2a3-3b4)
(2a3-3b4)(2a3-3b4)
(2a3-3b4)(2a3-3b4)
Expand (2a3-3b4)(2a3-3b4) using the FOIL Method.
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Apply the distributive property.
2a3(2a3-3b4)-3b4(2a3-3b4)
Apply the distributive property.
2a3⋅2a3+2a3(-3b4)-3b4(2a3-3b4)
Apply the distributive property.
2a3⋅2a3+2a3(-3b4)-3b4⋅2a3-3b4(-3b4)
2a3⋅2a3+2a3(-3b4)-3b4⋅2a3-3b4(-3b4)
Simplify and combine like terms.
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Simplify each term.
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Multiply 2a3⋅2a3.
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Multiply 2a3 and 2a3.
2a(2a)3⋅3+2a3(-3b4)-3b4⋅2a3-3b4(-3b4)
Multiply 2 by 2.
4a⋅a3⋅3+2a3(-3b4)-3b4⋅2a3-3b4(-3b4)
Raise a to the power of 1.
4(a1a)3⋅3+2a3(-3b4)-3b4⋅2a3-3b4(-3b4)
Raise a to the power of 1.
4(a1a1)3⋅3+2a3(-3b4)-3b4⋅2a3-3b4(-3b4)
Use the power rule aman=am+n to combine exponents.
4a1+13⋅3+2a3(-3b4)-3b4⋅2a3-3b4(-3b4)
Add 1 and 1.
4a23⋅3+2a3(-3b4)-3b4⋅2a3-3b4(-3b4)
Multiply 3 by 3.
4a29+2a3(-3b4)-3b4⋅2a3-3b4(-3b4)
4a29+2a3(-3b4)-3b4⋅2a3-3b4(-3b4)
Rewrite using the commutative property of multiplication.
4a29-2a3⋅3b4-3b4⋅2a3-3b4(-3b4)
Cancel the common factor of 2.
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Move the leading negative in -2a3 into the numerator.
4a29+-2a3⋅3b4-3b4⋅2a3-3b4(-3b4)
Factor 2 out of -2a.
4a29+2(-a)3⋅3b4-3b4⋅2a3-3b4(-3b4)
Factor 2 out of 4.
4a29+2(-a)3⋅3b2(2)-3b4⋅2a3-3b4(-3b4)
Cancel the common factor.
4a29+2(-a)3⋅3b2⋅2-3b4⋅2a3-3b4(-3b4)
Rewrite the expression.
4a29+-a3⋅3b2-3b4⋅2a3-3b4(-3b4)
4a29+-a3⋅3b2-3b4⋅2a3-3b4(-3b4)
Cancel the common factor of 3.
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Factor 3 out of 3b.
4a29+-a3⋅3(b)2-3b4⋅2a3-3b4(-3b4)
Cancel the common factor.
4a29+-a3⋅3b2-3b4⋅2a3-3b4(-3b4)
Rewrite the expression.
4a29-ab2-3b4⋅2a3-3b4(-3b4)
4a29-ab2-3b4⋅2a3-3b4(-3b4)
Combine b2 and a.
4a29-ba2-3b4⋅2a3-3b4(-3b4)
Cancel the common factor of 3.
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Move the leading negative in -3b4 into the numerator.
4a29-ba2+-3b4⋅2a3-3b4(-3b4)
Factor 3 out of -3b.
4a29-ba2+3(-b)4⋅2a3-3b4(-3b4)
Cancel the common factor.
4a29-ba2+3(-b)4⋅2a3-3b4(-3b4)
Rewrite the expression.
4a29-ba2+-b4(2a)-3b4(-3b4)
4a29-ba2+-b4(2a)-3b4(-3b4)
Cancel the common factor of 2.
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Factor 2 out of 4.
4a29-ba2+-b2(2)(2a)-3b4(-3b4)
Factor 2 out of 2a.
4a29-ba2+-b2(2)(2(a))-3b4(-3b4)
Cancel the common factor.
4a29-ba2+-b2⋅2(2a)-3b4(-3b4)
Rewrite the expression.
4a29-ba2+-b2a-3b4(-3b4)
4a29-ba2+-b2a-3b4(-3b4)
Combine -b2 and a.
4a29-ba2+-ba2-3b4(-3b4)
Move the negative in front of the fraction.
4a29-ba2-ba2-3b4(-3b4)
Multiply -3b4(-3b4).
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Multiply -1 by -1.
4a29-ba2-ba2+13b43b4
Multiply 3b4 by 1.
4a29-ba2-ba2+3b4⋅3b4
Multiply 3b4 and 3b4.
4a29-ba2-ba2+3b(3b)4⋅4
Multiply 3 by 3.
4a29-ba2-ba2+9b⋅b4⋅4
Raise b to the power of 1.
4a29-ba2-ba2+9(b1b)4⋅4
Raise b to the power of 1.
4a29-ba2-ba2+9(b1b1)4⋅4
Use the power rule aman=am+n to combine exponents.
4a29-ba2-ba2+9b1+14⋅4
Add 1 and 1.
4a29-ba2-ba2+9b24⋅4
Multiply 4 by 4.
4a29-ba2-ba2+9b216
4a29-ba2-ba2+9b216
4a29-ba2-ba2+9b216
Subtract ba2 from -ba2.
4a29-2ba2+9b216
4a29-2ba2+9b216
Simplify each term.
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Cancel the common factor of 2.
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Factor 2 out of -2.
4a29+2(-1)ba2+9b216
Cancel the common factor.
4a29+2⋅-1ba2+9b216
Rewrite the expression.
4a29-1(ba)+9b216
4a29-1(ba)+9b216
Rewrite -1(ba) as -(ba).
4a29-ba+9b216
4a29-ba+9b216
Move b.
4a29-ab+9b216
Multiply (2/3a-3/4b)(2/3a-3/4b)

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