Solve 700x^32c - 28x1 5/8x1 1/4

Question

Simplify the expression

1400 x^{3} c - \frac{455}{8} x^{2}

Evaluate

700 x^{3} \times 2 c - 28 x \times 1 \frac{5}{8} \times x \times 1 \frac{1}{4}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{5}{8}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{8 + 5}{8}

Add the terms

\frac{13}{8}

700 x^{3} \times 2 c - 28 x \times \frac{13}{8} x \times 1 \frac{1}{4}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{4}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{4 + 1}{4}

Add the terms

\frac{5}{4}

700 x^{3} \times 2 c - 28 x \times \frac{13}{8} x \times \frac{5}{4}

Multiply the terms

1400 x^{3} c - 28 x \times \frac{13}{8} x \times \frac{5}{4}

Solution

More Steps

Multiply the terms

28 x \times \frac{13}{8} x \times \frac{5}{4}

Multiply the terms

More Steps

Evaluate

28 \times \frac{13}{8} \times \frac{5}{4}

Multiply the terms

\frac{91}{2} \times \frac{5}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{91 \times 5}{2 \times 4}

Multiply the numbers

\frac{455}{2 \times 4}

Multiply the numbers

\frac{455}{8}

\frac{455}{8} x \times x

Multiply the terms

\frac{455}{8} x^{2}

1400 x^{3} c - \frac{455}{8} x^{2}

Show Solution

Factor the expression

\frac{35}{8} x^{2} (320 x c - 13)

Evaluate

700 x^{3} \times 2 c - 28 x \times 1 \frac{5}{8} \times x \times 1 \frac{1}{4}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{5}{8}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{8 + 5}{8}

Add the terms

\frac{13}{8}

700 x^{3} \times 2 c - 28 x \times \frac{13}{8} x \times 1 \frac{1}{4}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{4}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{4 + 1}{4}

Add the terms

\frac{5}{4}

700 x^{3} \times 2 c - 28 x \times \frac{13}{8} x \times \frac{5}{4}

Multiply the terms

1400 x^{3} c - 28 x \times \frac{13}{8} x \times \frac{5}{4}

Multiply

More Steps

Multiply the terms

28 x \times \frac{13}{8} x \times \frac{5}{4}

Multiply the terms

More Steps

Evaluate

28 \times \frac{13}{8} \times \frac{5}{4}

Multiply the terms

\frac{91}{2} \times \frac{5}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{91 \times 5}{2 \times 4}

Multiply the numbers

\frac{455}{2 \times 4}

Multiply the numbers

\frac{455}{8}

\frac{455}{8} x \times x

Multiply the terms

\frac{455}{8} x^{2}

1400 x^{3} c - \frac{455}{8} x^{2}

Rewrite the expression

\frac{35}{8} x^{2} \times 320 x c - \frac{35}{8} x^{2} \times 13

Solution

\frac{35}{8} x^{2} (320 x c - 13)

Show Solution