Answer:
Step-by-step explanation:
Factor: The smallest divisor of function is the factors of the function.
26r³s = 13×2×r×r×r×s
52r⁵= 13×2×2×r×r×r×r×r
39r²s⁴ = 13×3×r×r×s×s×s×s
The common factors are = 13×r×r =13r²
Therefore
26r³s+52r⁵-39r²s⁴
=( 13×2×r×r×r×s)+(13×2×2×r×r×r×r×r)-(13×3×r×r×s×s×s×s)
=13r²(2×r×s+2×2×r×r×r-3×s×s×s×s)
=13r²(2rs+4r³-3s⁴ )
∴26r³s+52r⁵-39r²s⁴ =13r²(2rs+4r³-3s⁴ )
The factorization of 26r³s + 52r^5 – 39r²s⁴ is 13r²(2rs + 4r³ - 3s⁴)
Given:
26r³s + 52r^5 – 39r²s⁴
factorize
= 13r²(2rs + 4r³ - 3s⁴)
check all that applies
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