What is factor am-az-mz+m^2 ?

The solution to factor am-az-mz+m^2 is (m-z)(a+m)

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factor am-az-mz+m^2

factor

am - a z - m z + m^{2}

(m - z) (a + m)

Solution steps

am - a z - m z + m^{2}

Factor out common term

a

= a (m - z) - m z + m^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

m^{2} = mm

= a (m - z) - m z + mm

Factor out common term

m

= a (m - z) + m (- z + m)

Factor out common term

(m - z)

= (m - z) (a + m)

(4 x) - 1

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cos^{3} (t) + sin^{3} (t)

(x - 3) + x^{2}