−4(7b+3)+24b−8
Expanding the expression:
-4(7b+3)+24b-8
-4 * 7b = -28b
-4 * 3 = -12
-28b - 12 + 24b - 8
(24b - 28b) + (-12 - 8)
-4b - 20
Therefore, -4(7b+3)+24b-8 simplifies to -4b - 20.
2(3v+9)−14−6(−5v−4)
Expanding the expression:
2(3v+9)−14−6(−5v−4)
2 * 3v = 6v
2 * 9 = 18
6v + 18 - 14 -6(-5v-4)
-6 * -5v = 30v
-6 * -4 = 24
6v + 18 - 14 - 30v - 24
(6v - 30v) + (18 - 14 - 24)
-24v + (-20)
Therefore, 2(3v+9)−14−6(−5v−4) simplifies to -24v - 20.
−15+45(15e−10)−10e
Expanding the expression:
-15+45(15e−10)−10e
45 * 15e = 675e
45 * -10 = -450
675e - 450 - 10e - 15
(675e - 10e) + (-450 - 15)
665e - 465
Therefore, -15+45(15e−10)−10e simplifies to 665e - 465.
−15+45(15e−10)−10e .(1 point)
Responses
−2e+23
negative 2 e plus 23
2e−23
2 e minus 23
2e+23
2 e plus 23
−2e−23
To simplify the expression −4(7b+3) + 24b - 8, follow these steps:
Step 1: Apply the distributive property:
Multiply -4 by each term inside the parentheses:
-4 * 7b = -28b
-4 * 3 = -12
After applying the distributive property, the expression becomes:
-28b - 12 + 24b - 8
Step 2: Combine like terms:
Combine the terms with the same variable, which in this case is 'b':
-28b + 24b = -4b
Combine the constant terms:
-12 - 8 = -20
After combining like terms, the expression simplifies to:
-4b - 20
So, the simplified form of the expression −4(7b+3) + 24b - 8 is -4b - 20.