(4a-5)(5a+6)what is the answer to this question
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Answer:
20a²-a-30
Step-by-step explanation:
(4a-5)(5a+6) = 20a²+24a-25a-30
= 20a²-a-30.
Answered by
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Simplifying
(4a + -5)(5a + -6) = 0
Reorder the terms:
(-5 + 4a)(5a + -6) = 0
Reorder the terms:
(-5 + 4a)(-6 + 5a) = 0
Multiply (-5 + 4a) * (-6 + 5a)
(-5(-6 + 5a) + 4a * (-6 + 5a)) = 0
((-6 * -5 + 5a * -5) + 4a * (-6 + 5a)) = 0
((30 + -25a) + 4a * (-6 + 5a)) = 0
(30 + -25a + (-6 * 4a + 5a * 4a)) = 0
(30 + -25a + (-24a + 20a2)) = 0
Combine like terms: -25a + -24a = -49a
(30 + -49a + 20a2) = 0
Solving
30 + -49a + 20a2 = 0
Solving for variable 'a'.
Factor a trinomial.
(6 + -5a)(5 + -4a) = 0
(4a + -5)(5a + -6) = 0
Reorder the terms:
(-5 + 4a)(5a + -6) = 0
Reorder the terms:
(-5 + 4a)(-6 + 5a) = 0
Multiply (-5 + 4a) * (-6 + 5a)
(-5(-6 + 5a) + 4a * (-6 + 5a)) = 0
((-6 * -5 + 5a * -5) + 4a * (-6 + 5a)) = 0
((30 + -25a) + 4a * (-6 + 5a)) = 0
(30 + -25a + (-6 * 4a + 5a * 4a)) = 0
(30 + -25a + (-24a + 20a2)) = 0
Combine like terms: -25a + -24a = -49a
(30 + -49a + 20a2) = 0
Solving
30 + -49a + 20a2 = 0
Solving for variable 'a'.
Factor a trinomial.
(6 + -5a)(5 + -4a) = 0
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