p²(2a-3b)+q²(3a+4b)-r²(5a-2b)
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Answers
Step by Step Solution
STEP 1: Equation at the end of step 1
(((p²) (2a-3b))+((q²) • (3a+4b)))-r²
STEP 2:
Equation at the end of step 2:
(((p²) (2a-3b))+q²• (3a+4b)) - r². (5a
STEP 3:
Equation at the end of step
(p².(2a-3b)+q²• (3a+4b))-r². (5a-2b)
STEP 4: Trying to factor by pulling out
Factoring: 2p²a-3p²b+3aq² 5ar²+4bq²+2br²
Thoughtfully split the expression at hand into groups, each group having two terms:
Group 1: 3aq2+4bq²
Group 2: 2p²a-3p²b
Group 3: -5ar2+2br²
Pull out from each group separately :
Group 1: (3a+4b) • (q²)
Group 2: (2a-3b) • (p²)
Group 3: (5a-2b) • (-r²)
Looking for common sub-expressions :
Group 1: (3a+4b) • (q²)Group 3: (5a-2b) • (-²)
Group 2: (2a-3b) • (p²)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Final answer :
2p²a - 3p²b + 3aq² - 5ar² + 4bq²
hope it's helpful sara
Answer:
Hope it will helps you
Step-by-step explanation:
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