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Nataly_w [17]
3 years ago
15

Replace ∗ with a monomial so that the result is an identity:

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer:

Each of these is based on the principle of difference of two squares where:

a^2-b^2=(a-b)(a+b)

Step-by-step explanation:

1.(2a + *)(2a - *) = 4a^2-b^2

4a^2-b^2=(2a)^2-b^2=(2a+b)(2a-b)

2. (*- 3x )(*+3x) = 16y^2-9x^2

16y^2-9x^2=(4y)^2-(3x)^2=(4-3x)(4+3x)

3. 100m^4-4n^6 = (10m^2-*)(*+10m^2)

100m^4-4n^6 = (10m^2-(2n^3)^2)= (10m^2-2n^3)(2n^3+10m^2)

4. m^4-225c^{10} = (m^2-*)(* +m^2)

m^4-225c^{10} =(m^2)^2-(15c^5)^2= (m^2-15c^5)(15c^5 +m^2)

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