Simplify the expression-3-48p-12-3-816p-8

The given expression can be simplified as follows;3/4(8p+12)+3/8(16p 8)0ex0ex=3/4(8p)+3/4(12)+3/8(16p)+3/8( 8) {Distributiveproperty}0ex0ex=6p+9+6p 3 ...

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Standard XII

Mathematics

Integration by Partial Fractions

Simplify the ...

Question

Simplify the expression.
$\frac{3}{4} (8 p + 12) + \frac{3}{8} (16 p - 8)$

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Solution

The given expression can be simplified as follows;
$\frac{3}{4} (8 p + 12) + \frac{3}{8} (16 p - 8) = \frac{3}{4} (8 p) + \frac{3}{4} (12) + \frac{3}{8} (16 p) + \frac{3}{8} (- 8) {Distributive property} = 6 p + 9 + 6 p - 3 {Multiply} = 6 p + 6 p - 3 + 9 {Commutative property} = 12 p + 6 {Combine like terms}$
Hence, simplification of $\frac{3}{4} (8 p + 12) + \frac{3}{8} (16 p - 8)$ is $12 p + 6$ .

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Simplify the expression.34(8p+12)+38(16p-8)

The given expression can be simplified as follows;34(8p+12)+38(16p-8)=34(8p)+34(12)+38(16p)+38(-8){Distributiveproperty}=6p+9+6p-3{Multiply}=6p+6p-3+9{Commutativeproperty}=12p+6{Combineliketerms}Hence, simplification of34(8p+12)+38(16p-8) is 12p+6.

Simplify the expression.
$\frac{3}{4} (8 p + 12) + \frac{3}{8} (16 p - 8)$