B. (a - b)(a + b)
C. a^2(b-b^2)
D. a^2b^2(b - a)
The factor of the expression into an equivalent form a²b - (ab)² would be; C
Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need to factor the expression into an equivalent form a²b - (ab)²
This expression could also be given by;
a²b - (ab)²
Now, we know that:
a²- b² = (a + b) (a - b)
Now plug the values then we get;
Hence, the factor of the expression into an equivalent form a²b - (ab)² would be; C
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(5×100)+(9×1)+(3×110)+(7×11,000)
(5×100)+(9×10)+(3×110)+(7×11,000)
(5×100)+(9×10)+(3×1100)+(7×11,000)
(5×100)+(9×1)+(3×1100)+(7×11,000)
Expanded form of 509.307 is equals to (5×100)+(9×1) +(3× ) + (7× ).
" Expanded form of any number is to split a number as per its place value of each digit."
According to the question,
Write place value of each digit of 509.307
Place value of 5 = 5 × 100
Place value of 0 = 0 × 10
Place value of 9 = 9 × 1
Place value of 3 = 3 ×(1 / 10)
Place value of 0 = 0 × ( 1/100)
Place value of 7 = 7 ×(1/ 1000)
Therefore,
Expanded form of 509.307
= (5×100)+(0 × 10)+ (9×1) +(3× )+(0 × ) + ( 7× ).
= (5×100)+(9×1) +(3× ) + ( 7× ).
Hence, expanded form of 509.307 is equals to (5×100)+(9×1) +(3× ) + ( 7× ).
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6 (5+3) = 6 X 5+6 X y