Use the distributive property to expand the expression. −2(5a − 3b2) − 4b + 3 A) −10a + 6b2 − 4b + 3 B) −10a − 6b2 − 4b + 3 C) − 10a + 6b2 − 4b − 3 D) −10a − 6b2 − 4b − 3
2 answers:
The answer is: [B]: " -10a + 6b² − 4b + 3 " ._____________________________________ Explanation: ____________________ Given: ____________________________ -2(5a − 3b²) − 4b + 3 ; _________________________________ "Use the distributive property [of multiplication] to expand the expression."______________________________________________ Note the distributive property of multiplication: ______________________________________________ a(b + c) = ab + ac ; a(b − c) = ab − ac ; ______________________________________________ So, we have: " -2(5a − 3b²) − 4b + 3 " ;______________________________________________ Start with: " -2(5a − 3b²) " ; ______________________________________________ -2(5a − 3b²) = (-2*5a) − (-2*3b²) = (-10a) − (-6b²) = -10a + 6b²________________________________________________ → Now, bring down the rest of the problem; ________________________________________________ -10a + 6b² − 4b + 3 ; which is: Answer choice: [B]. ________________________________________________
Answer:the answer is A
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