Question
Factorise:
x2 + 18x + 32
x2 + 18x + 32
✓
Answer
x2 + 18x + 32
= x2 + 16x + 2x + 32
= x(x + 16) + 2(x + 16)
= (x + 16)(x + 2)
= x2 + 16x + 2x + 32
= x(x + 16) + 2(x + 16)
= (x + 16)(x + 2)
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Show that:
$\Big(\frac{\text{x}^{\text{a}^2+\text{b}^2}}{\text{x}^{\text{ab}}}\Big)^{\text{a}+\text{b}}\Big(\frac{\text{x}^{\text{b}^2+\text{c}^2}}{\text{x}^\text{bc}}\Big)^{\text{b}+\text{c}}\Big(\frac{\text{x}^{\text{c}^2+\text{a}^2}}{\text{x}^{\text{ac}}}\Big)^{\text{a}+\text{c}}=\text{x}^{2(\text{a}^2+\text{b}^2+\text{c}^2)}$
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Find the mean of all factors of 10.
Read the passage given below and answer the questions:
Once four friends Rahul, Arun, Ajay and Vijay went for a picnic at a hill station. Due to peak season, they did not get a proper hotel in the city. The weather was fine so they decided to make a conical tent at a park. They were carrying 300m2 cloth with them. As shown in the figure they made the tent with height 10m and diameter 14m. The remaining cloth was used for the floor.
1. How much Cloth was used for the floor?
2. What was the volume of the tent?
Once four friends Rahul, Arun, Ajay and Vijay went for a picnic at a hill station. Due to peak season, they did not get a proper hotel in the city. The weather was fine so they decided to make a conical tent at a park. They were carrying 300m2 cloth with them. As shown in the figure they made the tent with height 10m and diameter 14m. The remaining cloth was used for the floor.
1. How much Cloth was used for the floor?
2. What was the volume of the tent?
Evaluate:
(103)3
(103)3
Express the following in the form $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$:
$5.\overline2$
→$5.\overline2$