# Factor (4c^2-100)/(16c^2-16)*(64c+64)/(4c-20)

4c2-10016c2-16⋅64c+644c-20
Factor 4 out of 4c2-100.
Factor 4 out of 4c2.
4(c2)-10016c2-16⋅64c+644c-20
Factor 4 out of -100.
4c2+4⋅-2516c2-16⋅64c+644c-20
Factor 4 out of 4c2+4⋅-25.
4(c2-25)16c2-16⋅64c+644c-20
4(c2-25)16c2-16⋅64c+644c-20
Rewrite 25 as 52.
4(c2-52)16c2-16⋅64c+644c-20
Factor.
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=c and b=5.
4((c+5)(c-5))16c2-16⋅64c+644c-20
Remove unnecessary parentheses.
4(c+5)(c-5)16c2-16⋅64c+644c-20
4(c+5)(c-5)16c2-16⋅64c+644c-20
Factor 16 out of 16c2-16.
Factor 16 out of 16c2.
4(c+5)(c-5)16(c2)-16⋅64c+644c-20
Factor 16 out of -16.
4(c+5)(c-5)16(c2)+16(-1)⋅64c+644c-20
Factor 16 out of 16(c2)+16(-1).
4(c+5)(c-5)16(c2-1)⋅64c+644c-20
4(c+5)(c-5)16(c2-1)⋅64c+644c-20
Rewrite 1 as 12.
4(c+5)(c-5)16(c2-12)⋅64c+644c-20
Factor.
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=c and b=1.
4(c+5)(c-5)16((c+1)(c-1))⋅64c+644c-20
Remove unnecessary parentheses.
4(c+5)(c-5)16(c+1)(c-1)⋅64c+644c-20
4(c+5)(c-5)16(c+1)(c-1)⋅64c+644c-20
Reduce the expression 4(c+5)(c-5)16(c+1)(c-1) by cancelling the common factors.
Factor 4 out of 4(c+5)(c-5).
4((c+5)(c-5))16(c+1)(c-1)⋅64c+644c-20
Factor 4 out of 16(c+1)(c-1).
4((c+5)(c-5))4(4(c+1)(c-1))⋅64c+644c-20
Cancel the common factor.
4((c+5)(c-5))4(4(c+1)(c-1))⋅64c+644c-20
Rewrite the expression.
(c+5)(c-5)4(c+1)(c-1)⋅64c+644c-20
(c+5)(c-5)4(c+1)(c-1)⋅64c+644c-20
Factor 64 out of 64c+64.
Factor 64 out of 64c.
(c+5)(c-5)4(c+1)(c-1)⋅64(c)+644c-20
Factor 64 out of 64.
(c+5)(c-5)4(c+1)(c-1)⋅64(c)+64(1)4c-20
Factor 64 out of 64(c)+64(1).
(c+5)(c-5)4(c+1)(c-1)⋅64(c+1)4c-20
(c+5)(c-5)4(c+1)(c-1)⋅64(c+1)4c-20
Factor 4 out of 4c-20.
Factor 4 out of 4c.
(c+5)(c-5)4(c+1)(c-1)⋅64(c+1)4(c)-20
Factor 4 out of -20.
(c+5)(c-5)4(c+1)(c-1)⋅64(c+1)4c+4⋅-5
Factor 4 out of 4c+4⋅-5.
(c+5)(c-5)4(c+1)(c-1)⋅64(c+1)4(c-5)
(c+5)(c-5)4(c+1)(c-1)⋅64(c+1)4(c-5)
Reduce the expression 64(c+1)4(c-5) by cancelling the common factors.
Factor 4 out of 64(c+1).
(c+5)(c-5)4(c+1)(c-1)⋅4(16(c+1))4(c-5)
Cancel the common factor.
(c+5)(c-5)4(c+1)(c-1)⋅4(16(c+1))4(c-5)
Rewrite the expression.
(c+5)(c-5)4(c+1)(c-1)⋅16(c+1)c-5
(c+5)(c-5)4(c+1)(c-1)⋅16(c+1)c-5
Factor (4c^2-100)/(16c^2-16)*(64c+64)/(4c-20)

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