# Factor (3h-4j+6k)-6(-3hh+3j-7k)

(3h-4j+6k)-6(-3h⋅h+3j-7k)
Regroup terms.
-4j+3h+6k-6(-3h⋅h+3j-7k)
Factor 3 out of 3h+6k-6(-3h⋅h+3j-7k).
Factor 3 out of 3h.
-4j+3(h)+6k-6(-3h⋅h+3j-7k)
Factor 3 out of 6k.
-4j+3(h)+3(2k)-6(-3h⋅h+3j-7k)
Factor 3 out of -6(-3h⋅h+3j-7k).
-4j+3(h)+3(2k)+3(-2(-3h⋅h+3j-7k))
Factor 3 out of 3(h)+3(2k).
-4j+3(h+2k)+3(-2(-3h⋅h+3j-7k))
Factor 3 out of 3(h+2k)+3(-2(-3h⋅h+3j-7k)).
-4j+3(h+2k-2(-3h⋅h+3j-7k))
-4j+3(h+2k-2(-3h⋅h+3j-7k))
Multiply h by h by adding the exponents.
Move h.
-4j+3(h+2k-2(-3(h⋅h)+3j-7k))
Multiply h by h.
-4j+3(h+2k-2(-3h2+3j-7k))
-4j+3(h+2k-2(-3h2+3j-7k))
Apply the distributive property.
-4j+3(h+2k-2(-3h2)-2(3j)-2(-7k))
Simplify.
Multiply -3 by -2.
-4j+3(h+2k+6h2-2(3j)-2(-7k))
Multiply 3 by -2.
-4j+3(h+2k+6h2-6j-2(-7k))
Multiply -7 by -2.
-4j+3(h+2k+6h2-6j+14k)
-4j+3(h+2k+6h2-6j+14k)
-4j+3(h+6h2-6j+16k)
Factor -1 out of -4j+3(h+6h2-6j+16k).
Reorder the expression.
Move h.
-4j+3(6h2-6j+16k+h)
Reorder -4j and 3(6h2-6j+16k+h).
3(6h2-6j+16k+h)-4j
3(6h2-6j+16k+h)-4j
Factor -1 out of 3(6h2-6j+16k+h).
-(-3(6h2-6j+16k+h))-4j
Factor -1 out of -4j.
-(-3(6h2-6j+16k+h))-(4j)
Factor -1 out of -(-3(6h2-6j+16k+h))-(4j).
-(-3(6h2-6j+16k+h)+4j)
-(-3(6h2-6j+16k+h)+4j)
Apply the distributive property.
-(-3(6h2)-3(-6j)-3(16k)-3h+4j)
Simplify.
Multiply 6 by -3.
-(-18h2-3(-6j)-3(16k)-3h+4j)
Multiply -6 by -3.
-(-18h2+18j-3(16k)-3h+4j)
Multiply 16 by -3.
-(-18h2+18j-48k-3h+4j)
-(-18h2+18j-48k-3h+4j)