Question

cises
apply the distributive property to write equivalent e
a. $7x + 7y$
b. $15g + 20h$
c. $18m + 42n$
d. $30a + 39b$
e. $11f + 15f$
f. $18h + 13h$
g. $55m + 11$
h. $7 + 56y$

Explanation:

Step1: Factor out GCF of 7

$7x + 7y = 7(x + y)$

Step2: Factor out GCF of 5

$15g + 20h = 5(3g + 4h)$

Step3: Factor out GCF of 6

$18m + 42n = 6(3m + 7n)$

Step4: Factor out GCF of 3

$30a + 39b = 3(10a + 13b)$

Step5: Factor out GCF of f

$11f + 15f = f(11 + 15) = 26f$

Step6: Factor out GCF of h

$18h + 13h = h(18 + 13) = 31h$

Step7: Factor out GCF of 11

$55m + 11 = 11(5m + 1)$

Step8: Factor out GCF of 7

$7 + 56y = 7(1 + 8y)$

Answer:

a. $7(x + y)$
b. $5(3g + 4h)$
c. $6(3m + 7n)$
d. $3(10a + 13b)$
e. $26f$
f. $31h$
g. $11(5m + 1)$
h. $7(1 + 8y)$