Use the distributive property to write an expression equivalent to 5 x (3 +4)

The equivalent expression of 5 × (3 + 4) using the distributive property is;

(5 × 3) + (5 × 4) = 35

We are given the expression;

5 × (3 +4).

Distributive property simply means we want to distribute a number outside a bracket to the numbers inside the same bracket. For example, we have

p × (q +  r)

Using distributive property, we will have;

p × (q +  r) = (p × q) + (p × r)

Applying the example used above to our question, we have;

5 × (3 + 4) = (5 × 3) + (5 × 4)

⇒ 15 + 20

⇒ 35

Thus, in conclusion, the equivalent of 5 × (3 + 4)  using distributive property is (5 × 3) + (5 × 4) = 35

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5 * 3 + 5 * 4 = 35

Step-by-step explanation:

Given  :  5 x (3 +4).

To find : The distributive property to write an expression equivalent.

Solution : We have given 5 x (3 +4).

Using Distributing property : a ( b +c ) = a *b + a* c .

5 x (3 +4) = 5 * 3 + 5 * 4 .

5 * 3 + 5 * 4 = 15 + 20 = 35 .

Therefore, 5 * 3 + 5 * 4 = 35

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb