perform the indicated multiplication (i) 5a(3-2a)
Answers
Answer:
15a-10a²
Step-by-step explanation:
=5a(3-2a)
=15a-10a²
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STEP
1
:
3
Simplify —
2
Equation at the end of step
1
:
3
5a - (— • a)
2
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
5a 5a • 2
5a = —— = ——————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5a • 2 - (3a) 7a
————————————— = ——
2 2
Final result :
7a
——
2