7. Simplify:
(a) 2a(a2+b2)-2b2(b+a)+2
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Step-by-step explanation:
2[a(a + b) + b(a + b)]
Simplifying 2[a(a + b) + b(a + b)] 2[(a * a + b * a) + b(a + b)] Reorder the terms: 2[(ab + a2) + b(a + b)] 2[(ab + a2) + b(a + b)] 2[ab + a2 + (a * b + b * b)] 2[ab + a2 + (ab + b2)] Reorder the terms: 2[ab + ab + a2 + b2] Combine like terms: ab + ab = 2ab 2[2ab + a2 + b2] [2ab * 2 + a2 * 2 + b2 * 2] [4ab + 2a2 + 2b2]
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