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Calculate as directed.
MATHEMATICS · Multi-part · GCSE · Mathematics · Algebra · Algebra
Problem
Calculate as directed. (i) Simplify the product
−
3
2
a
2
b
(
4
a
b
2
−
6
b
+
1
3
a
3
)
-\frac{3}{2}a^2b\left(4ab^2-6b+\frac{1}{3}a^3\right)
−
2
3
a
2
b
(
4
a
b
2
−
6
b
+
3
1
a
3
)
. (ii) Using your result from part (i), find the numerical value of the expression when
a
=
2
a=2
a
=
2
and
b
=
−
1
b=-1
b
=
−
1
.
Related theory
Polynomials
Expanding products and combining like terms
Multiplying algebraic expressions
Algebra
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