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13h^{2}-10hk+k^{2}
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13h^{2}-10hk+k^{2}
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h^{2}-2hk+k^{2}-4h\left(2k-3h\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(h-k\right)^{2}.
h^{2}-2hk+k^{2}-8hk+12h^{2}
Use the distributive property to multiply -4h by 2k-3h.
h^{2}-10hk+k^{2}+12h^{2}
Combine -2hk and -8hk to get -10hk.
13h^{2}-10hk+k^{2}
Combine h^{2} and 12h^{2} to get 13h^{2}.
h^{2}-2hk+k^{2}-4h\left(2k-3h\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(h-k\right)^{2}.
h^{2}-2hk+k^{2}-8hk+12h^{2}
Use the distributive property to multiply -4h by 2k-3h.
h^{2}-10hk+k^{2}+12h^{2}
Combine -2hk and -8hk to get -10hk.
13h^{2}-10hk+k^{2}
Combine h^{2} and 12h^{2} to get 13h^{2}.
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