Answer:
i)6a^2-2ab-6b^2
ii)ab^2-1a^2b
iii)b^3-42b
Step-by-step explanation:
Use distributive property
Collect like terms
(a+b)(5a-3b)+(a-3b)(a-b)
(a+b)(5a-3b)---- Distributive property
5a^2-3ab+5ab-3b^2
5a^2+5ab-3ab-3b^2
5a^2+2ab-3b^2
(a-3b)(a-b)
a^2-ab-3ab-3b^2
a^2-4ab-3b^2
So,
5a^2+2ab-3b^2+a^2-4ab-3b^2---Collect like terms
5a^2+a^2+2ab-4ab-3b^2-3b^2
6a^2-2ab-6b^2
(a–b)(a^2+b^2 +ab)–(a + b)(a^2+b^2 –ab)
(a–b)(a^2+b^2 +ab)----Distributive property
a^3 since a^(1+2)=a^3
a^3+ab^2+a^2b-ba^2-b^3-ab^2
a^3+ab^2-ab^2+a^2b-ba^2-b^3
a^3+a^2b-a^2-b^3
a^3-b^3
(a+b)(a^2+b^2-ab)
a^3+ab^2-a^2b+ba^2+b^3-a^2b
a^3+ab^2+ba^2+b^3-a^2b-a^2b
a^3+ab^2+ba^2+b^3-2a^2b
So,
a^3-b^3-a^3+ab^2+ba^2+b^3-2a^2b--Collect like terms
a^3-a^3-b^3+b^3+ab^2-2a^2b+a^2b
ab^2-1a^2b
(b^2–49)(b + 7)+343---Distributive property
b^3+7b-49b-343+343---Collect like terms
b^3-49b+7b
b^3-42b
Hope this helps ;) ❤❤❤
