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Simplify and select the correct answer arranged in descending powers of .
MATHEMATICS · Single correct · GCSE · Mathematics · Algebra · Algebra
Problem
Simplify
(
2
a
−
3
b
)
(
a
2
+
a
b
−
b
2
)
(2a - 3b)(a^2 + ab - b^2)
(
2
a
−
3
b
)
(
a
2
+
ab
−
b
2
)
and select the correct answer arranged in descending powers of
a
a
a
. (a)
2
a
3
+
a
2
b
−
5
a
b
2
+
3
b
3
2a^3 + a^2b - 5ab^2 + 3b^3
2
a
3
+
a
2
b
−
5
a
b
2
+
3
b
3
(b)
2
a
3
−
a
2
b
−
5
a
b
2
+
3
b
3
2a^3 - a^2b - 5ab^2 + 3b^3
2
a
3
−
a
2
b
−
5
a
b
2
+
3
b
3
(c)
2
a
3
−
a
2
b
−
3
a
b
2
+
3
b
3
2a^3 - a^2b - 3ab^2 + 3b^3
2
a
3
−
a
2
b
−
3
a
b
2
+
3
b
3
(d)
2
a
3
−
a
2
b
−
5
a
b
2
−
3
b
3
2a^3 - a^2b - 5ab^2 - 3b^3
2
a
3
−
a
2
b
−
5
a
b
2
−
3
b
3
Related theory
Polynomials
Multiplying algebraic expressions
Expanding products and combining like terms
Algebra
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